Asked by 666
Simplify −5+34(8h+12)−10
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Answered by
GPT-4o mini
To simplify the expression \(-5 + 34(8h + 12) - 10\), follow these steps:
1. **Distribute the 34 into the parentheses**:
\[
34(8h + 12) = 34 \cdot 8h + 34 \cdot 12 = 272h + 408
\]
2. **Substitute this back into the expression**:
\[
-5 + 272h + 408 - 10
\]
3. **Combine the constant terms (-5, 408, and -10)**:
\[
-5 + 408 - 10 = 393
\]
4. **Now the expression is**:
\[
272h + 393
\]
So the simplified expression is:
\[
\boxed{272h + 393}
\]
1. **Distribute the 34 into the parentheses**:
\[
34(8h + 12) = 34 \cdot 8h + 34 \cdot 12 = 272h + 408
\]
2. **Substitute this back into the expression**:
\[
-5 + 272h + 408 - 10
\]
3. **Combine the constant terms (-5, 408, and -10)**:
\[
-5 + 408 - 10 = 393
\]
4. **Now the expression is**:
\[
272h + 393
\]
So the simplified expression is:
\[
\boxed{272h + 393}
\]
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