Solve left|4-9-5right|-(4-9-5)-15+9

$$\left| 4-9-5 \right| -(4-9-5)-15+9$$

Evaluate

$$14$$

Solution Steps

Subtract 9 from 4 to get -5.

$$|-5-5|-\left(4-9-5\right)-15+9$$

Subtract 5 from -5 to get -10.

$$|-10|-\left(4-9-5\right)-15+9$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -10 is 10.

$$10-\left(4-9-5\right)-15+9$$

Subtract 9 from 4 to get -5.

$$10-\left(-5-5\right)-15+9$$

Subtract 5 from -5 to get -10.

$$10-\left(-10\right)-15+9$$

The opposite of -10 is 10.

$$10+10-15+9$$

Add 10 and 10 to get 20.

$$20-15+9$$

Subtract 15 from 20 to get 5.

$$5+9$$

Add 5 and 9 to get 14.

$$14$$

Factor

$$2\times 7$$