Simplify 6(3q - 4) + 18 - 12q - 7(4q + 5)

Answer 1

To simplify the expression 6(3q - 4) + 18 - 12q - 7(4q + 5), we first distribute the numbers outside the parentheses:

6 * 3q = 18q
6 * (-4) = -24

and

-7 * 4q = -28q
-7 * 5 = -35

The simplified expression becomes:

18q - 24 + 18 - 12q - 28q - 35

Next, combine like terms:

(18q - 12q - 28q) + (-24 + 18 - 35)

which simplifies to:

-22q - 41