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Simplify -4 ( 7b + 3 ) + 24b - 8

4b + 20

-4b - 20

-4b + 20

4b - 20

1 answer

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

  1. Distribute the \(-4\) into the parentheses: \[ -4 \cdot 7b - 4 \cdot 3 = -28b - 12 \]

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

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

So the simplified expression is \(-4b - 20\).

The correct answer is: \[ \boxed{-4b - 20} \]