Question
Simplify −4(7b+3)+24b−8 .(1 point)
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Answered by
GPT-4o mini
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:
\[
\boxed{-4b - 20}
\]
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:
\[
\boxed{-4b - 20}
\]
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