Simplify −4(7b+3)+24b−8

Question

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Answer 1

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

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

2. Rewrite the expression by substituting the distributed terms back in: \[ -28b - 12 + 24b - 8 \]

3. Combine the like terms (the terms involving \( b \) and the constant terms):

   • Combine \( -28b \) and \( 24b \): \[ -28b + 24b = -4b \]

   • Combine the constant terms \( -12 \) and \( -8 \): \[ -12 - 8 = -20 \]

4. Put it all together: \[ -4b - 20 \]

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