To determine in which of the given equations you would multiply both sides by \( n \) to solve for \( m \), let’s analyze each option individually.
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Solve \( m - n = p \) for \( m \):
- To isolate \( m \), you would add \( n \) to both sides: \[ m = p + n \]
- No multiplication by \( n \) is needed.
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Solve \( mn = p \) for \( m \):
- To isolate \( m \), you would divide both sides by \( n \) (as long as \( n \neq 0 \)): \[ m = \frac{p}{n} \]
- Here, you would not multiply both sides by \( n \); instead, you divide by \( n \).
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Solve \( = p \) for \( m \):
- It appears there is some text missing in this equation. Without knowing what \( m \) equals, it’s impossible to determine the method. There's no multiplication by \( n \) as presented.
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Solve \( m + n = p \) for \( m \):
- To isolate \( m \), you would subtract \( n \) from both sides: \[ m = p - n \]
- No multiplication by \( n \) occurs here either.
Conclusion: In none of the options provided do we multiply both sides by \( n \) to solve for \( m \). You would divide by \( n \) in the second option instead.
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