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Simplifying 5(3m + -2) = 3(2m + -10) Reorder the terms: 5(-2 + 3m) = 3(2m + -10) (-2 * 5 + 3m * 5) = 3(2m + -10) (-10 + 15m) = 3(2m + -10) Reorder the terms: -10 + 15m = 3(-10 + 2m) -10 + 15m = (-10 * 3 + 2m * 3) -10 + 15m = (-30 + 6m) Solving -10 + 15m = -30 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. -10 + 15m + -6m = -30 + 6m + -6m Combine like terms: 15m + -6m = 9m -10 + 9m = -30 + 6m + -6m Combine like terms: 6m + -6m = 0 -10 + 9m = -30 + 0 -10 + 9m = -30 Add '10' to each side of the equation. -10 + 10 + 9m = -30 + 10 Combine like terms: -10 + 10 = 0 0 + 9m = -30 + 10 9m = -30 + 10 Combine like terms: -30 + 10 = -20 9m = -20 Divide each side by '9'. m = -2.222222222 Simplifying m = -2.222222222
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