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Simplifying 3(5 + -1m) = -1(2m + -1) (5 * 3 + -1m * 3) = -1(2m + -1) (15 + -3m) = -1(2m + -1) Reorder the terms: 15 + -3m = -1(-1 + 2m) 15 + -3m = (-1 * -1 + 2m * -1) 15 + -3m = (1 + -2m) Solving 15 + -3m = 1 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. 15 + -3m + 2m = 1 + -2m + 2m Combine like terms: -3m + 2m = -1m 15 + -1m = 1 + -2m + 2m Combine like terms: -2m + 2m = 0 15 + -1m = 1 + 0 15 + -1m = 1 Add '-15' to each side of the equation. 15 + -15 + -1m = 1 + -15 Combine like terms: 15 + -15 = 0 0 + -1m = 1 + -15 -1m = 1 + -15 Combine like terms: 1 + -15 = -14 -1m = -14 Divide each side by '-1'. m = 14 Simplifying m = 14
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