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Simplifying 3(m + 22) = 12m + 30 Reorder the terms: 3(22 + m) = 12m + 30 (22 * 3 + m * 3) = 12m + 30 (66 + 3m) = 12m + 30 Reorder the terms: 66 + 3m = 30 + 12m Solving 66 + 3m = 30 + 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. 66 + 3m + -12m = 30 + 12m + -12m Combine like terms: 3m + -12m = -9m 66 + -9m = 30 + 12m + -12m Combine like terms: 12m + -12m = 0 66 + -9m = 30 + 0 66 + -9m = 30 Add '-66' to each side of the equation. 66 + -66 + -9m = 30 + -66 Combine like terms: 66 + -66 = 0 0 + -9m = 30 + -66 -9m = 30 + -66 Combine like terms: 30 + -66 = -36 -9m = -36 Divide each side by '-9'. m = 4 Simplifying m = 4
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