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Simplifying 7(1 + -1m) = -3(5 + 3m) (1 * 7 + -1m * 7) = -3(5 + 3m) (7 + -7m) = -3(5 + 3m) 7 + -7m = (5 * -3 + 3m * -3) 7 + -7m = (-15 + -9m) Solving 7 + -7m = -15 + -9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '9m' to each side of the equation. 7 + -7m + 9m = -15 + -9m + 9m Combine like terms: -7m + 9m = 2m 7 + 2m = -15 + -9m + 9m Combine like terms: -9m + 9m = 0 7 + 2m = -15 + 0 7 + 2m = -15 Add '-7' to each side of the equation. 7 + -7 + 2m = -15 + -7 Combine like terms: 7 + -7 = 0 0 + 2m = -15 + -7 2m = -15 + -7 Combine like terms: -15 + -7 = -22 2m = -22 Divide each side by '2'. m = -11 Simplifying m = -11
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