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Simplifying -3(m + 2) = 5(2 + -1m) Reorder the terms: -3(2 + m) = 5(2 + -1m) (2 * -3 + m * -3) = 5(2 + -1m) (-6 + -3m) = 5(2 + -1m) -6 + -3m = (2 * 5 + -1m * 5) -6 + -3m = (10 + -5m) Solving -6 + -3m = 10 + -5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5m' to each side of the equation. -6 + -3m + 5m = 10 + -5m + 5m Combine like terms: -3m + 5m = 2m -6 + 2m = 10 + -5m + 5m Combine like terms: -5m + 5m = 0 -6 + 2m = 10 + 0 -6 + 2m = 10 Add '6' to each side of the equation. -6 + 6 + 2m = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 2m = 10 + 6 2m = 10 + 6 Combine like terms: 10 + 6 = 16 2m = 16 Divide each side by '2'. m = 8 Simplifying m = 8
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