Simplify 6(3q - 4) + 18 - 12q - 7(4q + 5)
Starting with the expression:
6(3q - 4) + 18 - 12q - 7(4q + 5)
We can simplify it step by step.
First, distribute the 6 to both terms inside the parentheses:
18q - 24 + 18 - 12q - 7(4q + 5)
Simplify the terms inside the parentheses:
18q - 24 + 18 - 12q - 28q - 35
Combine like terms:
(18q - 12q - 28q) + (-24 + 18 - 35)
Combine the terms with q:
-22q + (-24 + 18 - 35)
Combine like terms again:
-22q + (-41)
Finally, simplify:
-22q - 41
So the simplified expression is -22q - 41.