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Simplifying 12(5 + -1m) = 7 + -1(1 + 3m) (5 * 12 + -1m * 12) = 7 + -1(1 + 3m) (60 + -12m) = 7 + -1(1 + 3m) 60 + -12m = 7 + (1 * -1 + 3m * -1) 60 + -12m = 7 + (-1 + -3m) Combine like terms: 7 + -1 = 6 60 + -12m = 6 + -3m Solving 60 + -12m = 6 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. 60 + -12m + 3m = 6 + -3m + 3m Combine like terms: -12m + 3m = -9m 60 + -9m = 6 + -3m + 3m Combine like terms: -3m + 3m = 0 60 + -9m = 6 + 0 60 + -9m = 6 Add '-60' to each side of the equation. 60 + -60 + -9m = 6 + -60 Combine like terms: 60 + -60 = 0 0 + -9m = 6 + -60 -9m = 6 + -60 Combine like terms: 6 + -60 = -54 -9m = -54 Divide each side by '-9'. m = 6 Simplifying m = 6
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