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Simplifying 3m + 2(m + 2) = 20 + -1(2m + -5) Reorder the terms: 3m + 2(2 + m) = 20 + -1(2m + -5) 3m + (2 * 2 + m * 2) = 20 + -1(2m + -5) 3m + (4 + 2m) = 20 + -1(2m + -5) Reorder the terms: 4 + 3m + 2m = 20 + -1(2m + -5) Combine like terms: 3m + 2m = 5m 4 + 5m = 20 + -1(2m + -5) Reorder the terms: 4 + 5m = 20 + -1(-5 + 2m) 4 + 5m = 20 + (-5 * -1 + 2m * -1) 4 + 5m = 20 + (5 + -2m) Combine like terms: 20 + 5 = 25 4 + 5m = 25 + -2m Solving 4 + 5m = 25 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. 4 + 5m + 2m = 25 + -2m + 2m Combine like terms: 5m + 2m = 7m 4 + 7m = 25 + -2m + 2m Combine like terms: -2m + 2m = 0 4 + 7m = 25 + 0 4 + 7m = 25 Add '-4' to each side of the equation. 4 + -4 + 7m = 25 + -4 Combine like terms: 4 + -4 = 0 0 + 7m = 25 + -4 7m = 25 + -4 Combine like terms: 25 + -4 = 21 7m = 21 Divide each side by '7'. m = 3 Simplifying m = 3
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