Pregunta
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\( m = 4 \)
Solución
To solve the equation \( 3(2m - 5) = 9 \) for \( m \), follow these steps:
1. **Distribute the 3 on the left side:**
\[
3 \times 2m - 3 \times 5 = 6m - 15
\]
So the equation becomes:
\[
6m - 15 = 9
\]
2. **Add 15 to both sides to isolate the term with \( m \):**
\[
6m - 15 + 15 = 9 + 15
\]
Simplifying both sides:
\[
6m = 24
\]
3. **Divide both sides by 6 to solve for \( m \):**
\[
\frac{6m}{6} = \frac{24}{6}
\]
Simplifying:
\[
m = 4
\]
**Solution:** \( m = 4 \)
Revisado y aprobado por el equipo de tutoría de UpStudy
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Simplifique esta solución Extra Insights
To solve the equation \( 3(2 m-5) = 9 \), start by expanding the left side: 1. Distribute the \( 3 \): \( 3 \cdot 2m - 3 \cdot 5 = 9 \) \( 6m - 15 = 9 \) 2. Next, add \( 15 \) to both sides to isolate the term with \( m \): \( 6m - 15 + 15 = 9 + 15 \) \( 6m = 24 \) 3. Finally, divide both sides by \( 6 \): \( m = \frac{24}{6} \) \( m = 4 \) So, the solution to the equation is \( m = 4 \). And remember, if you accidentally forget to distribute correctly, you'll end up with the wrong equation! Double-check each step to keep your math sharp!
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