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Simplifying 2m + 5(3 + -1(m + 1)) = 5(2 + -1m) + 12 Reorder the terms: 2m + 5(3 + -1(1 + m)) = 5(2 + -1m) + 12 2m + 5(3 + (1 * -1 + m * -1)) = 5(2 + -1m) + 12 2m + 5(3 + (-1 + -1m)) = 5(2 + -1m) + 12 Combine like terms: 3 + -1 = 2 2m + 5(2 + -1m) = 5(2 + -1m) + 12 2m + (2 * 5 + -1m * 5) = 5(2 + -1m) + 12 2m + (10 + -5m) = 5(2 + -1m) + 12 Reorder the terms: 10 + 2m + -5m = 5(2 + -1m) + 12 Combine like terms: 2m + -5m = -3m 10 + -3m = 5(2 + -1m) + 12 10 + -3m = (2 * 5 + -1m * 5) + 12 10 + -3m = (10 + -5m) + 12 Reorder the terms: 10 + -3m = 10 + 12 + -5m Combine like terms: 10 + 12 = 22 10 + -3m = 22 + -5m Solving 10 + -3m = 22 + -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. 10 + -3m + 5m = 22 + -5m + 5m Combine like terms: -3m + 5m = 2m 10 + 2m = 22 + -5m + 5m Combine like terms: -5m + 5m = 0 10 + 2m = 22 + 0 10 + 2m = 22 Add '-10' to each side of the equation. 10 + -10 + 2m = 22 + -10 Combine like terms: 10 + -10 = 0 0 + 2m = 22 + -10 2m = 22 + -10 Combine like terms: 22 + -10 = 12 2m = 12 Divide each side by '2'. m = 6 Simplifying m = 6
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