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Simplifying -4m + 2(3m + 4) = 5(7 + m) Reorder the terms: -4m + 2(4 + 3m) = 5(7 + m) -4m + (4 * 2 + 3m * 2) = 5(7 + m) -4m + (8 + 6m) = 5(7 + m) Reorder the terms: 8 + -4m + 6m = 5(7 + m) Combine like terms: -4m + 6m = 2m 8 + 2m = 5(7 + m) 8 + 2m = (7 * 5 + m * 5) 8 + 2m = (35 + 5m) Solving 8 + 2m = 35 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 8 + 2m + -5m = 35 + 5m + -5m Combine like terms: 2m + -5m = -3m 8 + -3m = 35 + 5m + -5m Combine like terms: 5m + -5m = 0 8 + -3m = 35 + 0 8 + -3m = 35 Add '-8' to each side of the equation. 8 + -8 + -3m = 35 + -8 Combine like terms: 8 + -8 = 0 0 + -3m = 35 + -8 -3m = 35 + -8 Combine like terms: 35 + -8 = 27 -3m = 27 Divide each side by '-3'. m = -9 Simplifying m = -9
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