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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 = 27m 30 + 27m = 6 + -12m + 12m Combine like terms: -12m + 12m = 0 30 + 27m = 6 + 0 30 + 27m = 6 Add '-30' to each side of the equation. 30 + -30 + 27m = 6 + -30 Combine like terms: 30 + -30 = 0 0 + 27m = 6 + -30 27m = 6 + -30 Combine like terms: 6 + -30 = -24 27m = -24 Divide each side by '27'. m = -0.8888888889 Simplifying m = -0.8888888889
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