Simplify 6(3q−4)+18−12q−7(4q+5)

.(1 point)

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

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: \[ \boxed{-22q - 41} \]