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Simplifying -3m + 8 + -2(m + -6) = 6m + -1(5m + -5) + -4m + 1 Reorder the terms: -3m + 8 + -2(-6 + m) = 6m + -1(5m + -5) + -4m + 1 -3m + 8 + (-6 * -2 + m * -2) = 6m + -1(5m + -5) + -4m + 1 -3m + 8 + (12 + -2m) = 6m + -1(5m + -5) + -4m + 1 Reorder the terms: 8 + 12 + -3m + -2m = 6m + -1(5m + -5) + -4m + 1 Combine like terms: 8 + 12 = 20 20 + -3m + -2m = 6m + -1(5m + -5) + -4m + 1 Combine like terms: -3m + -2m = -5m 20 + -5m = 6m + -1(5m + -5) + -4m + 1 Reorder the terms: 20 + -5m = 6m + -1(-5 + 5m) + -4m + 1 20 + -5m = 6m + (-5 * -1 + 5m * -1) + -4m + 1 20 + -5m = 6m + (5 + -5m) + -4m + 1 Reorder the terms: 20 + -5m = 5 + 1 + 6m + -5m + -4m Combine like terms: 5 + 1 = 6 20 + -5m = 6 + 6m + -5m + -4m Combine like terms: 6m + -5m = 1m 20 + -5m = 6 + 1m + -4m Combine like terms: 1m + -4m = -3m 20 + -5m = 6 + -3m Solving 20 + -5m = 6 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. 20 + -5m + 3m = 6 + -3m + 3m Combine like terms: -5m + 3m = -2m 20 + -2m = 6 + -3m + 3m Combine like terms: -3m + 3m = 0 20 + -2m = 6 + 0 20 + -2m = 6 Add '-20' to each side of the equation. 20 + -20 + -2m = 6 + -20 Combine like terms: 20 + -20 = 0 0 + -2m = 6 + -20 -2m = 6 + -20 Combine like terms: 6 + -20 = -14 -2m = -14 Divide each side by '-2'. m = 7 Simplifying m = 7
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