Question
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Tutor-Verified Answer
Answer
\( m = -11 \)
Solution
We start with the equation:
–87 = 7m – 10
Step 1: Add 10 to both sides to isolate the term with m.
–87 + 10 = 7m
–77 = 7m
Step 2: Divide both sides by 7.
m = –77 / 7
m = –11
Thus, the solution is: m = –11.
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Simplify this solution The Deep Dive
To solve for \( m \), you first add 10 to both sides of the equation. This gives you \( -87 + 10 = 7m \), which simplifies to \( -77 = 7m \). Now, divide both sides by 7 to isolate \( m \): \( m = -\frac{77}{7} \). Simplifying that, you find \( m = -11 \). Now you can easily check your work by substituting \( m \) back into the original equation. Calculating \( 7 \times -11 - 10 \) should yield \( -87\), confirming that your solution is indeed correct!
