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Simplifying -3m + 18 + -2(m + -5) = 9m + -1(5m + -5) + -6m + 2 Reorder the terms: -3m + 18 + -2(-5 + m) = 9m + -1(5m + -5) + -6m + 2 -3m + 18 + (-5 * -2 + m * -2) = 9m + -1(5m + -5) + -6m + 2 -3m + 18 + (10 + -2m) = 9m + -1(5m + -5) + -6m + 2 Reorder the terms: 18 + 10 + -3m + -2m = 9m + -1(5m + -5) + -6m + 2 Combine like terms: 18 + 10 = 28 28 + -3m + -2m = 9m + -1(5m + -5) + -6m + 2 Combine like terms: -3m + -2m = -5m 28 + -5m = 9m + -1(5m + -5) + -6m + 2 Reorder the terms: 28 + -5m = 9m + -1(-5 + 5m) + -6m + 2 28 + -5m = 9m + (-5 * -1 + 5m * -1) + -6m + 2 28 + -5m = 9m + (5 + -5m) + -6m + 2 Reorder the terms: 28 + -5m = 5 + 2 + 9m + -5m + -6m Combine like terms: 5 + 2 = 7 28 + -5m = 7 + 9m + -5m + -6m Combine like terms: 9m + -5m = 4m 28 + -5m = 7 + 4m + -6m Combine like terms: 4m + -6m = -2m 28 + -5m = 7 + -2m Solving 28 + -5m = 7 + -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. 28 + -5m + 2m = 7 + -2m + 2m Combine like terms: -5m + 2m = -3m 28 + -3m = 7 + -2m + 2m Combine like terms: -2m + 2m = 0 28 + -3m = 7 + 0 28 + -3m = 7 Add '-28' to each side of the equation. 28 + -28 + -3m = 7 + -28 Combine like terms: 28 + -28 = 0 0 + -3m = 7 + -28 -3m = 7 + -28 Combine like terms: 7 + -28 = -21 -3m = -21 Divide each side by '-3'. m = 7 Simplifying m = 7
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