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Simplifying 13m + 84 = -3(1 + -14m) Reorder the terms: 84 + 13m = -3(1 + -14m) 84 + 13m = (1 * -3 + -14m * -3) 84 + 13m = (-3 + 42m) Solving 84 + 13m = -3 + 42m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-42m' to each side of the equation. 84 + 13m + -42m = -3 + 42m + -42m Combine like terms: 13m + -42m = -29m 84 + -29m = -3 + 42m + -42m Combine like terms: 42m + -42m = 0 84 + -29m = -3 + 0 84 + -29m = -3 Add '-84' to each side of the equation. 84 + -84 + -29m = -3 + -84 Combine like terms: 84 + -84 = 0 0 + -29m = -3 + -84 -29m = -3 + -84 Combine like terms: -3 + -84 = -87 -29m = -87 Divide each side by '-29'. m = 3 Simplifying m = 3
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