Subjects algebra

Isolate M F8C460

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1. **State the problem:** Solve the equation $$\frac{m}{2} + 9 = 12$$ to isolate $m$. 2. **Subtract 9 from both sides:** To isolate the term with $m$, subtract 9 from both sides: $$\frac{m}{2} + 9 - 9 = 12 - 9$$ which simplifies to $$\frac{m}{2} = 3$$ 3. **Multiply both sides by 2:** To solve for $m$, multiply both sides by 2 to cancel the denominator: $$2 \times \frac{m}{2} = 3 \times 2$$ showing the cancellation: $$\cancel{2} \times \frac{m}{\cancel{2}} = 6$$ which simplifies to $$m = 6$$ 4. **Final answer:** The value of $m$ that satisfies the equation is $$m = 6$$ This means $m$ is isolated and equals 6.