Solve -[(-5b-4a)-((-4+5a)+2a+3b-5a+4b)]]

$$- [ ( - 5 b - 4 a ) - ( ( - 4 + 5 a ) + 2 a + 3 b - 5 a + 4 b ) ] ]$$

Evaluate

$$6a+12b-4$$

Solution Steps

Combine 5a and 2a to get 7a.

$$-\left(-5b-4a-\left(-4+7a+3b-5a+4b\right)\right)$$

Combine 7a and -5a to get 2a.

$$-\left(-5b-4a-\left(-4+2a+3b+4b\right)\right)$$

Combine 3b and 4b to get 7b.

$$-\left(-5b-4a-\left(-4+2a+7b\right)\right)$$

To find the opposite of -4+2a+7b, find the opposite of each term.

$$-\left(-5b-4a-\left(-4\right)-2a-7b\right)$$

The opposite of -4 is 4.

$$-\left(-5b-4a+4-2a-7b\right)$$

Combine -4a and -2a to get -6a.

$$-\left(-5b-6a+4-7b\right)$$

Combine -5b and -7b to get -12b.

$$-\left(-12b-6a+4\right)$$

To find the opposite of -12b-6a+4, find the opposite of each term.

$$-\left(-12b\right)-\left(-6a\right)-4$$

The opposite of -12b is 12b.

$$12b-\left(-6a\right)-4$$

The opposite of -6a is 6a.

$$12b+6a-4$$

Expand

$$6a+12b-4$$

Solution Steps

Combine 5a and 2a to get 7a.

$$-\left(-5b-4a-\left(-4+7a+3b-5a+4b\right)\right)$$

Combine 7a and -5a to get 2a.

$$-\left(-5b-4a-\left(-4+2a+3b+4b\right)\right)$$

Combine 3b and 4b to get 7b.

$$-\left(-5b-4a-\left(-4+2a+7b\right)\right)$$

To find the opposite of -4+2a+7b, find the opposite of each term.

$$-\left(-5b-4a-\left(-4\right)-2a-7b\right)$$

The opposite of -4 is 4.

$$-\left(-5b-4a+4-2a-7b\right)$$

Combine -4a and -2a to get -6a.

$$-\left(-5b-6a+4-7b\right)$$

Combine -5b and -7b to get -12b.

$$-\left(-12b-6a+4\right)$$

To find the opposite of -12b-6a+4, find the opposite of each term.

$$-\left(-12b\right)-\left(-6a\right)-4$$

The opposite of -12b is 12b.

$$12b-\left(-6a\right)-4$$

The opposite of -6a is 6a.

$$12b+6a-4$$