To solve the inequality \(-2m \leq 18\), follow these steps:
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Divide both sides by -2: Remember that when you divide or multiply an inequality by a negative number, you must reverse the inequality sign.
\[ m \geq \frac{18}{-2} \]
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Calculate the right side:
\[ m \geq -9 \]
Thus, the solution to the inequality \(-2m \leq 18\) is:
\[ m \geq -9 \]