To solve the equation \( 25 = 15 - \frac{2}{5}m \), follow these steps:
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Isolate the term with \( m \): Subtract 15 from both sides of the equation: \[ 25 - 15 = -\frac{2}{5}m \] \[ 10 = -\frac{2}{5}m \]
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Eliminate the negative sign (by multiplying both sides by -1): \[ -10 = \frac{2}{5}m \]
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Multiply both sides by the reciprocal of \(\frac{2}{5}\), which is \(\frac{5}{2}\): \[ -10 \times \frac{5}{2} = m \] \[ m = -25 \]
Thus, the solution is: \[ \boxed{-25} \]
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