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Simplifying 9(1 + m) = 30 + 12m (1 * 9 + m * 9) = 30 + 12m (9 + 9m) = 30 + 12m Solving 9 + 9m = 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. 9 + 9m + -12m = 30 + 12m + -12m Combine like terms: 9m + -12m = -3m 9 + -3m = 30 + 12m + -12m Combine like terms: 12m + -12m = 0 9 + -3m = 30 + 0 9 + -3m = 30 Add '-9' to each side of the equation. 9 + -9 + -3m = 30 + -9 Combine like terms: 9 + -9 = 0 0 + -3m = 30 + -9 -3m = 30 + -9 Combine like terms: 30 + -9 = 21 -3m = 21 Divide each side by '-3'. m = -7 Simplifying m = -7
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