Question
7. \( 6 m+1-4 m=-7 \)
Ask by Hardy Stephens. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( m = -4 \)
Solution
To solve the equation \( 6m + 1 - 4m = -7 \) for \( m \), follow these steps:
1. **Combine like terms:**
\[
6m - 4m + 1 = -7
\]
\[
2m + 1 = -7
\]
2. **Subtract 1 from both sides to isolate the term with \( m \):**
\[
2m + 1 - 1 = -7 - 1
\]
\[
2m = -8
\]
3. **Divide both sides by 2 to solve for \( m \):**
\[
\frac{2m}{2} = \frac{-8}{2}
\]
\[
m = -4
\]
**Solution:** \( m = -4 \)
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Mind Expander
Let's simplify and solve the equation step by step. First, combine like terms: \( 6m - 4m + 1 = -7 \) which simplifies to \( 2m + 1 = -7 \). Next, subtract 1 from both sides to isolate the term with \( m \): \( 2m = -8 \). Finally, divide both sides by 2 to find \( m = -4 \). Always double-check your work! It's easy to make a small mistake when moving terms around. For instance, forgetting to change the sign when moving a term to the other side can lead you down the wrong path. So, take a moment to review your steps and confirm your result. Happy solving!
