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

Answer 1

To simplify the expression 6(3q-4) + 18 - 12q - 7(4q + 5), we can follow the order of operations (PEMDAS) and perform the operations step by step.

First, let's simplify the expressions within parentheses:

6(3q - 4) = 18q - 24
7(4q + 5) = 28q + 35

Now, let's substitute these simplified expressions back into the original expression:

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

Next, let's combine like terms:

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

Simplifying, we have:

-22q - 41