To solve the equation \(-3r + 10 = 15r - 8\), follow these steps:
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Start by moving all terms involving \(r\) to one side of the equation and constant terms to the other side. Add \(3r\) to both sides:
\[ 10 = 15r + 3r - 8 \]
This simplifies to:
\[ 10 = 18r - 8 \]
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Next, add \(8\) to both sides to isolate terms with \(r\):
\[ 10 + 8 = 18r \]
This simplifies to:
\[ 18 = 18r \]
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Finally, divide both sides by \(18\) to solve for \(r\):
\[ r = \frac{18}{18} = 1 \]
Thus, the solution is:
\[ r = 1 \]