Question
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( m = 5 \)
Solution
**Step 1:** Start with the equation
\[
-15 = -4m + 5.
\]
**Step 2:** Subtract \(5\) from both sides to isolate the term with \(m\):
\[
-15 - 5 = -4m.
\]
This simplifies to:
\[
-20 = -4m.
\]
**Step 3:** Divide both sides by \(-4\) to solve for \(m\):
\[
m = \frac{-20}{-4}.
\]
This yields:
\[
m = 5.
\]
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Mind Expander
To solve for \( m \), let's first isolate the variable. Start by subtracting 5 from both sides of the equation: \(-15 - 5 = -4m\) This simplifies to: \(-20 = -4m\) Now, divide both sides by -4 to solve for \( m \): \( m = \frac{-20}{-4} = 5 \) So, the solution is \( m = 5 \). When solving linear equations like this, it’s helpful to remember to perform the same operation on both sides to maintain equality. A common error is neglecting to apply negatives correctly while moving terms around, so watch out for those signs!