Questions: 25 = -5 + (2/3)m

Solution Steps

Starting with the equation:

\[ 25 = -5 + \frac{2}{3} m \]

we add \(5\) to both sides to eliminate the constant term:

\[ 25 + 5 = \frac{2}{3} m \]

This simplifies to:

\[ 30 = \frac{2}{3} m \]

Next, we isolate \(m\) by multiplying both sides by the reciprocal of \(\frac{2}{3}\), which is \(\frac{3}{2}\):

\[ m = \frac{3}{2} \cdot 30 \]

Calculating this gives:

\[ m = 45.0 \]

Final Answer