Simplify −4(7b+3)+24b−8 .(1 point)

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

To simplify the expression \(-4(7b + 3) + 24b - 8\), we can follow these steps:

  1. Distribute \(-4\) to both terms inside the parentheses: \[ -4(7b) - 4(3) = -28b - 12 \]

  2. Substitute this back into the expression: \[ -28b - 12 + 24b - 8 \]

  3. Combine like terms (the \(b\) terms and the constant terms): \[ (-28b + 24b) + (-12 - 8) = -4b - 20 \]

Thus, the simplified expression is: \[ \boxed{-4b - 20} \]