Solve {l}{(-12)+(-11)-(+10)-(-3)}{(-6)-(-3)+(-2)-(-8)}{(-5)+(+8)-(-3)-(+2)}{(-4)-(+7)+(-1)-(+10)}{(-9)+(-10)-(-11)-(-1)}{(+5)-(+3)+(+2)-(+30)}

$$\left. \begin{array} { l } { ( - 12 ) + ( - 11 ) - ( + 10 ) - ( - 3 ) } \\ { ( - 6 ) - ( - 3 ) + ( - 2 ) - ( - 8 ) } \\ { ( - 5 ) + ( + 8 ) - ( - 3 ) - ( + 2 ) } \\ { ( - 4 ) - ( + 7 ) + ( - 1 ) - ( + 10 ) } \\ { ( - 9 ) + ( - 10 ) - ( - 11 ) - ( - 1 ) } \\ { ( + 5 ) - ( + 3 ) + ( + 2 ) - ( + 30 ) } \end{array} \right.$$

Sort

$$-30,-26,-22,-7,3,4$$

Solution Steps

Subtract 11 from -12 to get -23.

$$sort(-23-10-\left(-3\right),-6-\left(-3\right)-2-\left(-8\right),-5+8-\left(-3\right)-2,-4-7-1-10,-9-10-\left(-11\right)-\left(-1\right),5-3+2-30)$$

Subtract 10 from -23 to get -33.

$$sort(-33-\left(-3\right),-6-\left(-3\right)-2-\left(-8\right),-5+8-\left(-3\right)-2,-4-7-1-10,-9-10-\left(-11\right)-\left(-1\right),5-3+2-30)$$

The opposite of -3 is 3.

$$sort(-33+3,-6-\left(-3\right)-2-\left(-8\right),-5+8-\left(-3\right)-2,-4-7-1-10,-9-10-\left(-11\right)-\left(-1\right),5-3+2-30)$$

Add -33 and 3 to get -30.

$$sort(-30,-6-\left(-3\right)-2-\left(-8\right),-5+8-\left(-3\right)-2,-4-7-1-10,-9-10-\left(-11\right)-\left(-1\right),5-3+2-30)$$

The opposite of -3 is 3.

$$sort(-30,-6+3-2-\left(-8\right),-5+8-\left(-3\right)-2,-4-7-1-10,-9-10-\left(-11\right)-\left(-1\right),5-3+2-30)$$

Add -6 and 3 to get -3.

$$sort(-30,-3-2-\left(-8\right),-5+8-\left(-3\right)-2,-4-7-1-10,-9-10-\left(-11\right)-\left(-1\right),5-3+2-30)$$

Subtract 2 from -3 to get -5.

$$sort(-30,-5-\left(-8\right),-5+8-\left(-3\right)-2,-4-7-1-10,-9-10-\left(-11\right)-\left(-1\right),5-3+2-30)$$

The opposite of -8 is 8.

$$sort(-30,-5+8,-5+8-\left(-3\right)-2,-4-7-1-10,-9-10-\left(-11\right)-\left(-1\right),5-3+2-30)$$

Add -5 and 8 to get 3.

$$sort(-30,3,-5+8-\left(-3\right)-2,-4-7-1-10,-9-10-\left(-11\right)-\left(-1\right),5-3+2-30)$$

Add -5 and 8 to get 3.

$$sort(-30,3,3-\left(-3\right)-2,-4-7-1-10,-9-10-\left(-11\right)-\left(-1\right),5-3+2-30)$$

The opposite of -3 is 3.

$$sort(-30,3,3+3-2,-4-7-1-10,-9-10-\left(-11\right)-\left(-1\right),5-3+2-30)$$

Add 3 and 3 to get 6.

$$sort(-30,3,6-2,-4-7-1-10,-9-10-\left(-11\right)-\left(-1\right),5-3+2-30)$$

Subtract 2 from 6 to get 4.

$$sort(-30,3,4,-4-7-1-10,-9-10-\left(-11\right)-\left(-1\right),5-3+2-30)$$

Subtract 7 from -4 to get -11.

$$sort(-30,3,4,-11-1-10,-9-10-\left(-11\right)-\left(-1\right),5-3+2-30)$$

Subtract 1 from -11 to get -12.

$$sort(-30,3,4,-12-10,-9-10-\left(-11\right)-\left(-1\right),5-3+2-30)$$

Subtract 10 from -12 to get -22.

$$sort(-30,3,4,-22,-9-10-\left(-11\right)-\left(-1\right),5-3+2-30)$$

Subtract 10 from -9 to get -19.

$$sort(-30,3,4,-22,-19-\left(-11\right)-\left(-1\right),5-3+2-30)$$

The opposite of -11 is 11.

$$sort(-30,3,4,-22,-19+11-\left(-1\right),5-3+2-30)$$

Add -19 and 11 to get -8.

$$sort(-30,3,4,-22,-8-\left(-1\right),5-3+2-30)$$

The opposite of -1 is 1.

$$sort(-30,3,4,-22,-8+1,5-3+2-30)$$

Add -8 and 1 to get -7.

$$sort(-30,3,4,-22,-7,5-3+2-30)$$

Subtract 3 from 5 to get 2.

$$sort(-30,3,4,-22,-7,2+2-30)$$

Add 2 and 2 to get 4.

$$sort(-30,3,4,-22,-7,4-30)$$

Subtract 30 from 4 to get -26.

$$sort(-30,3,4,-22,-7,-26)$$

To sort the list, start from a single element -30.

$$-30$$

Insert 3 to the appropriate location in the new list.

$$-30,3$$

Insert 4 to the appropriate location in the new list.

$$-30,3,4$$

Insert -22 to the appropriate location in the new list.

$$-30,-22,3,4$$

Insert -7 to the appropriate location in the new list.

$$-30,-22,-7,3,4$$

Insert -26 to the appropriate location in the new list.

$$-30,-26,-22,-7,3,4$$

Evaluate

$$-30,\ 3,\ 4,\ -22,\ -7,\ -26$$