implify 6(3q−4)+18−12q−7(4q+5)

Question

.(1 point)

Answer 1

To simplify the expression \( 6(3q - 4) + 18 - 12q - 7(4q + 5) \), let's follow these steps:

1. Distribute the constants in front of the parentheses: \[ 6(3q) - 6(4) + 18 - 12q - 7(4q) - 7(5) \] This gives us: \[ 18q - 24 + 18 - 12q - 28q - 35 \]

2. Combine like terms:

   • For the \(q\) terms: \( 18q - 12q - 28q = (18 - 12 - 28)q = -22q \)
   • For the constant terms: \( -24 + 18 - 35 = -24 - 17 = -41 \)

3. Finally, we combine the results: \[ -22q - 41 \]

So, the simplified expression is: \[ \boxed{-22q - 41} \]