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Simplifying 5(3m + 6) = 3(4m + -2) Reorder the terms: 5(6 + 3m) = 3(4m + -2) (6 * 5 + 3m * 5) = 3(4m + -2) (30 + 15m) = 3(4m + -2) Reorder the terms: 30 + 15m = 3(-2 + 4m) 30 + 15m = (-2 * 3 + 4m * 3) 30 + 15m = (-6 + 12m) Solving 30 + 15m = -6 + 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. 30 + 15m + -12m = -6 + 12m + -12m Combine like terms: 15m + -12m = 3m 30 + 3m = -6 + 12m + -12m Combine like terms: 12m + -12m = 0 30 + 3m = -6 + 0 30 + 3m = -6 Add '-30' to each side of the equation. 30 + -30 + 3m = -6 + -30 Combine like terms: 30 + -30 = 0 0 + 3m = -6 + -30 3m = -6 + -30 Combine like terms: -6 + -30 = -36 3m = -36 Divide each side by '3'. m = -12 Simplifying m = -12
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