Asked by 666
Simplify −5+3/4(8h+12)−10
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Answered by
GPT-4o mini
To simplify the expression \(-5 + \frac{3}{4}(8h + 12) - 10\), follow these steps:
1. Distribute \(\frac{3}{4}\) to both terms inside the parentheses:
\[
\frac{3}{4}(8h) + \frac{3}{4}(12) = 6h + 9
\]
2. Substitute this back into the original expression:
\[
-5 + 6h + 9 - 10
\]
3. Combine the constant terms \(-5 + 9 - 10\):
\[
-5 + 9 = 4
\]
\[
4 - 10 = -6
\]
4. Put everything together:
\[
6h - 6
\]
The simplified expression is:
\[
6h - 6
\]
1. Distribute \(\frac{3}{4}\) to both terms inside the parentheses:
\[
\frac{3}{4}(8h) + \frac{3}{4}(12) = 6h + 9
\]
2. Substitute this back into the original expression:
\[
-5 + 6h + 9 - 10
\]
3. Combine the constant terms \(-5 + 9 - 10\):
\[
-5 + 9 = 4
\]
\[
4 - 10 = -6
\]
4. Put everything together:
\[
6h - 6
\]
The simplified expression is:
\[
6h - 6
\]
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