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Simplifying 3(2m + -6) = 5(3m + -10) Reorder the terms: 3(-6 + 2m) = 5(3m + -10) (-6 * 3 + 2m * 3) = 5(3m + -10) (-18 + 6m) = 5(3m + -10) Reorder the terms: -18 + 6m = 5(-10 + 3m) -18 + 6m = (-10 * 5 + 3m * 5) -18 + 6m = (-50 + 15m) Solving -18 + 6m = -50 + 15m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15m' to each side of the equation. -18 + 6m + -15m = -50 + 15m + -15m Combine like terms: 6m + -15m = -9m -18 + -9m = -50 + 15m + -15m Combine like terms: 15m + -15m = 0 -18 + -9m = -50 + 0 -18 + -9m = -50 Add '18' to each side of the equation. -18 + 18 + -9m = -50 + 18 Combine like terms: -18 + 18 = 0 0 + -9m = -50 + 18 -9m = -50 + 18 Combine like terms: -50 + 18 = -32 -9m = -32 Divide each side by '-9'. m = 3.555555556 Simplifying m = 3.555555556
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