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Simplifying 5(4m + 12) = 6(5m + -15) Reorder the terms: 5(12 + 4m) = 6(5m + -15) (12 * 5 + 4m * 5) = 6(5m + -15) (60 + 20m) = 6(5m + -15) Reorder the terms: 60 + 20m = 6(-15 + 5m) 60 + 20m = (-15 * 6 + 5m * 6) 60 + 20m = (-90 + 30m) Solving 60 + 20m = -90 + 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 + 20m + -30m = -90 + 30m + -30m Combine like terms: 20m + -30m = -10m 60 + -10m = -90 + 30m + -30m Combine like terms: 30m + -30m = 0 60 + -10m = -90 + 0 60 + -10m = -90 Add '-60' to each side of the equation. 60 + -60 + -10m = -90 + -60 Combine like terms: 60 + -60 = 0 0 + -10m = -90 + -60 -10m = -90 + -60 Combine like terms: -90 + -60 = -150 -10m = -150 Divide each side by '-10'. m = 15 Simplifying m = 15
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