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Simplifying 5(m + -2) = 2(2m + 1) Reorder the terms: 5(-2 + m) = 2(2m + 1) (-2 * 5 + m * 5) = 2(2m + 1) (-10 + 5m) = 2(2m + 1) Reorder the terms: -10 + 5m = 2(1 + 2m) -10 + 5m = (1 * 2 + 2m * 2) -10 + 5m = (2 + 4m) Solving -10 + 5m = 2 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. -10 + 5m + -4m = 2 + 4m + -4m Combine like terms: 5m + -4m = 1m -10 + 1m = 2 + 4m + -4m Combine like terms: 4m + -4m = 0 -10 + 1m = 2 + 0 -10 + 1m = 2 Add '10' to each side of the equation. -10 + 10 + 1m = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 1m = 2 + 10 1m = 2 + 10 Combine like terms: 2 + 10 = 12 1m = 12 Divide each side by '1'. m = 12 Simplifying m = 12
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