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Simplifying 2(5m + 4) = 3(3m + -10) Reorder the terms: 2(4 + 5m) = 3(3m + -10) (4 * 2 + 5m * 2) = 3(3m + -10) (8 + 10m) = 3(3m + -10) Reorder the terms: 8 + 10m = 3(-10 + 3m) 8 + 10m = (-10 * 3 + 3m * 3) 8 + 10m = (-30 + 9m) Solving 8 + 10m = -30 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. 8 + 10m + -9m = -30 + 9m + -9m Combine like terms: 10m + -9m = 1m 8 + 1m = -30 + 9m + -9m Combine like terms: 9m + -9m = 0 8 + 1m = -30 + 0 8 + 1m = -30 Add '-8' to each side of the equation. 8 + -8 + 1m = -30 + -8 Combine like terms: 8 + -8 = 0 0 + 1m = -30 + -8 1m = -30 + -8 Combine like terms: -30 + -8 = -38 1m = -38 Divide each side by '1'. m = -38 Simplifying m = -38
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