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Simplifying -2(3m + 5) + -8 = 3(6 + -5m) Reorder the terms: -2(5 + 3m) + -8 = 3(6 + -5m) (5 * -2 + 3m * -2) + -8 = 3(6 + -5m) (-10 + -6m) + -8 = 3(6 + -5m) Reorder the terms: -10 + -8 + -6m = 3(6 + -5m) Combine like terms: -10 + -8 = -18 -18 + -6m = 3(6 + -5m) -18 + -6m = (6 * 3 + -5m * 3) -18 + -6m = (18 + -15m) Solving -18 + -6m = 18 + -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 = 18 + -15m + 15m Combine like terms: -6m + 15m = 9m -18 + 9m = 18 + -15m + 15m Combine like terms: -15m + 15m = 0 -18 + 9m = 18 + 0 -18 + 9m = 18 Add '18' to each side of the equation. -18 + 18 + 9m = 18 + 18 Combine like terms: -18 + 18 = 0 0 + 9m = 18 + 18 9m = 18 + 18 Combine like terms: 18 + 18 = 36 9m = 36 Divide each side by '9'. m = 4 Simplifying m = 4
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