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Simplifying 9(2m + -2) = 3(5m + -4) Reorder the terms: 9(-2 + 2m) = 3(5m + -4) (-2 * 9 + 2m * 9) = 3(5m + -4) (-18 + 18m) = 3(5m + -4) Reorder the terms: -18 + 18m = 3(-4 + 5m) -18 + 18m = (-4 * 3 + 5m * 3) -18 + 18m = (-12 + 15m) Solving -18 + 18m = -12 + 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 + 18m + -15m = -12 + 15m + -15m Combine like terms: 18m + -15m = 3m -18 + 3m = -12 + 15m + -15m Combine like terms: 15m + -15m = 0 -18 + 3m = -12 + 0 -18 + 3m = -12 Add '18' to each side of the equation. -18 + 18 + 3m = -12 + 18 Combine like terms: -18 + 18 = 0 0 + 3m = -12 + 18 3m = -12 + 18 Combine like terms: -12 + 18 = 6 3m = 6 Divide each side by '3'. m = 2 Simplifying m = 2
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