Question
Solve using inverse operations 8 (2m+3) = 120
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Answered by
GPT-4o mini
To solve the equation \( 8(2m + 3) = 120 \) using inverse operations, follow these steps:
1. **Divide both sides by 8** to isolate the expression inside the parentheses:
\[
2m + 3 = \frac{120}{8}
\]
\[
2m + 3 = 15
\]
2. **Subtract 3 from both sides** to isolate the term with \( m \):
\[
2m = 15 - 3
\]
\[
2m = 12
\]
3. **Divide both sides by 2** to solve for \( m \):
\[
m = \frac{12}{2}
\]
\[
m = 6
\]
Thus, the solution is \( m = 6 \).
1. **Divide both sides by 8** to isolate the expression inside the parentheses:
\[
2m + 3 = \frac{120}{8}
\]
\[
2m + 3 = 15
\]
2. **Subtract 3 from both sides** to isolate the term with \( m \):
\[
2m = 15 - 3
\]
\[
2m = 12
\]
3. **Divide both sides by 2** to solve for \( m \):
\[
m = \frac{12}{2}
\]
\[
m = 6
\]
Thus, the solution is \( m = 6 \).
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