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Simplifying 30(5m + 2) = 5(6m + -12) Reorder the terms: 30(2 + 5m) = 5(6m + -12) (2 * 30 + 5m * 30) = 5(6m + -12) (60 + 150m) = 5(6m + -12) Reorder the terms: 60 + 150m = 5(-12 + 6m) 60 + 150m = (-12 * 5 + 6m * 5) 60 + 150m = (-60 + 30m) Solving 60 + 150m = -60 + 30m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-30m' to each side of the equation. 60 + 150m + -30m = -60 + 30m + -30m Combine like terms: 150m + -30m = 120m 60 + 120m = -60 + 30m + -30m Combine like terms: 30m + -30m = 0 60 + 120m = -60 + 0 60 + 120m = -60 Add '-60' to each side of the equation. 60 + -60 + 120m = -60 + -60 Combine like terms: 60 + -60 = 0 0 + 120m = -60 + -60 120m = -60 + -60 Combine like terms: -60 + -60 = -120 120m = -120 Divide each side by '120'. m = -1 Simplifying m = -1
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