To solve the equation \(-m + 18 = 2(m + 10)\), we will first simplify and solve for \(m\).
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Start by distributing the \(2\) on the right side: \[ -m + 18 = 2m + 20 \]
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Next, let's get all terms containing \(m\) on one side and constant terms on the other side. Add \(m\) to both sides: \[ 18 = 3m + 20 \]
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Now, subtract \(20\) from both sides: \[ 18 - 20 = 3m \] \[ -2 = 3m \]
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Finally, divide by \(3\): \[ m = -\frac{2}{3} \]
So the solution is: \[ m = -\frac{2}{3} \]