Simplify 6(3q−4)+18−12q−7(4q+5)

Question

.(1 point)

Answer 1

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

1. Distribute the terms:

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

   So the expression becomes: \[ 18q - 24 + 18 - 12q - 28q - 35 \]

2. Combine like terms:

   • Combine the \( q \) terms: \[ 18q - 12q - 28q = (18 - 12 - 28)q = -22q \]
   • Combine the constant terms: \[ -24 + 18 - 35 = (-24 + 18 - 35) = -41 \]

3. Putting it all together: \[ -22q - 41 \]

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