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Simplifying 2(7 + -1m) = 3(5 + -1m) (7 * 2 + -1m * 2) = 3(5 + -1m) (14 + -2m) = 3(5 + -1m) 14 + -2m = (5 * 3 + -1m * 3) 14 + -2m = (15 + -3m) Solving 14 + -2m = 15 + -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. 14 + -2m + 3m = 15 + -3m + 3m Combine like terms: -2m + 3m = 1m 14 + 1m = 15 + -3m + 3m Combine like terms: -3m + 3m = 0 14 + 1m = 15 + 0 14 + 1m = 15 Add '-14' to each side of the equation. 14 + -14 + 1m = 15 + -14 Combine like terms: 14 + -14 = 0 0 + 1m = 15 + -14 1m = 15 + -14 Combine like terms: 15 + -14 = 1 1m = 1 Divide each side by '1'. m = 1 Simplifying m = 1
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