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