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Simplifying 4m + 4(7 + -4m) = 7m + 4(-5m + 3) 4m + (7 * 4 + -4m * 4) = 7m + 4(-5m + 3) 4m + (28 + -16m) = 7m + 4(-5m + 3) Reorder the terms: 28 + 4m + -16m = 7m + 4(-5m + 3) Combine like terms: 4m + -16m = -12m 28 + -12m = 7m + 4(-5m + 3) Reorder the terms: 28 + -12m = 7m + 4(3 + -5m) 28 + -12m = 7m + (3 * 4 + -5m * 4) 28 + -12m = 7m + (12 + -20m) Reorder the terms: 28 + -12m = 12 + 7m + -20m Combine like terms: 7m + -20m = -13m 28 + -12m = 12 + -13m Solving 28 + -12m = 12 + -13m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '13m' to each side of the equation. 28 + -12m + 13m = 12 + -13m + 13m Combine like terms: -12m + 13m = 1m 28 + 1m = 12 + -13m + 13m Combine like terms: -13m + 13m = 0 28 + 1m = 12 + 0 28 + 1m = 12 Add '-28' to each side of the equation. 28 + -28 + 1m = 12 + -28 Combine like terms: 28 + -28 = 0 0 + 1m = 12 + -28 1m = 12 + -28 Combine like terms: 12 + -28 = -16 1m = -16 Divide each side by '1'. m = -16 Simplifying m = -16
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