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Simplifying -3m + 14 + -2(m + -1) = 6m + -1(4m + -5) + -5m + 7 Reorder the terms: -3m + 14 + -2(-1 + m) = 6m + -1(4m + -5) + -5m + 7 -3m + 14 + (-1 * -2 + m * -2) = 6m + -1(4m + -5) + -5m + 7 -3m + 14 + (2 + -2m) = 6m + -1(4m + -5) + -5m + 7 Reorder the terms: 14 + 2 + -3m + -2m = 6m + -1(4m + -5) + -5m + 7 Combine like terms: 14 + 2 = 16 16 + -3m + -2m = 6m + -1(4m + -5) + -5m + 7 Combine like terms: -3m + -2m = -5m 16 + -5m = 6m + -1(4m + -5) + -5m + 7 Reorder the terms: 16 + -5m = 6m + -1(-5 + 4m) + -5m + 7 16 + -5m = 6m + (-5 * -1 + 4m * -1) + -5m + 7 16 + -5m = 6m + (5 + -4m) + -5m + 7 Reorder the terms: 16 + -5m = 5 + 7 + 6m + -4m + -5m Combine like terms: 5 + 7 = 12 16 + -5m = 12 + 6m + -4m + -5m Combine like terms: 6m + -4m = 2m 16 + -5m = 12 + 2m + -5m Combine like terms: 2m + -5m = -3m 16 + -5m = 12 + -3m Solving 16 + -5m = 12 + -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. 16 + -5m + 3m = 12 + -3m + 3m Combine like terms: -5m + 3m = -2m 16 + -2m = 12 + -3m + 3m Combine like terms: -3m + 3m = 0 16 + -2m = 12 + 0 16 + -2m = 12 Add '-16' to each side of the equation. 16 + -16 + -2m = 12 + -16 Combine like terms: 16 + -16 = 0 0 + -2m = 12 + -16 -2m = 12 + -16 Combine like terms: 12 + -16 = -4 -2m = -4 Divide each side by '-2'. m = 2 Simplifying m = 2
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