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Simplifying 12(3m + 4) + 8(10 + -7m) = -4m Reorder the terms: 12(4 + 3m) + 8(10 + -7m) = -4m (4 * 12 + 3m * 12) + 8(10 + -7m) = -4m (48 + 36m) + 8(10 + -7m) = -4m 48 + 36m + (10 * 8 + -7m * 8) = -4m 48 + 36m + (80 + -56m) = -4m Reorder the terms: 48 + 80 + 36m + -56m = -4m Combine like terms: 48 + 80 = 128 128 + 36m + -56m = -4m Combine like terms: 36m + -56m = -20m 128 + -20m = -4m Solving 128 + -20m = -4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4m' to each side of the equation. 128 + -20m + 4m = -4m + 4m Combine like terms: -20m + 4m = -16m 128 + -16m = -4m + 4m Combine like terms: -4m + 4m = 0 128 + -16m = 0 Add '-128' to each side of the equation. 128 + -128 + -16m = 0 + -128 Combine like terms: 128 + -128 = 0 0 + -16m = 0 + -128 -16m = 0 + -128 Combine like terms: 0 + -128 = -128 -16m = -128 Divide each side by '-16'. m = 8 Simplifying m = 8
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