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Simplifying -3m + 23 + -2(m + -1) = 9m + -1(6m + -8) + -5m + 2 Reorder the terms: -3m + 23 + -2(-1 + m) = 9m + -1(6m + -8) + -5m + 2 -3m + 23 + (-1 * -2 + m * -2) = 9m + -1(6m + -8) + -5m + 2 -3m + 23 + (2 + -2m) = 9m + -1(6m + -8) + -5m + 2 Reorder the terms: 23 + 2 + -3m + -2m = 9m + -1(6m + -8) + -5m + 2 Combine like terms: 23 + 2 = 25 25 + -3m + -2m = 9m + -1(6m + -8) + -5m + 2 Combine like terms: -3m + -2m = -5m 25 + -5m = 9m + -1(6m + -8) + -5m + 2 Reorder the terms: 25 + -5m = 9m + -1(-8 + 6m) + -5m + 2 25 + -5m = 9m + (-8 * -1 + 6m * -1) + -5m + 2 25 + -5m = 9m + (8 + -6m) + -5m + 2 Reorder the terms: 25 + -5m = 8 + 2 + 9m + -6m + -5m Combine like terms: 8 + 2 = 10 25 + -5m = 10 + 9m + -6m + -5m Combine like terms: 9m + -6m = 3m 25 + -5m = 10 + 3m + -5m Combine like terms: 3m + -5m = -2m 25 + -5m = 10 + -2m Solving 25 + -5m = 10 + -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. 25 + -5m + 2m = 10 + -2m + 2m Combine like terms: -5m + 2m = -3m 25 + -3m = 10 + -2m + 2m Combine like terms: -2m + 2m = 0 25 + -3m = 10 + 0 25 + -3m = 10 Add '-25' to each side of the equation. 25 + -25 + -3m = 10 + -25 Combine like terms: 25 + -25 = 0 0 + -3m = 10 + -25 -3m = 10 + -25 Combine like terms: 10 + -25 = -15 -3m = -15 Divide each side by '-3'. m = 5 Simplifying m = 5
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