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Simplifying -3m + 14 + -9(m + -1) = 7m + -1(5m + -6) + -6m + 1 Reorder the terms: -3m + 14 + -9(-1 + m) = 7m + -1(5m + -6) + -6m + 1 -3m + 14 + (-1 * -9 + m * -9) = 7m + -1(5m + -6) + -6m + 1 -3m + 14 + (9 + -9m) = 7m + -1(5m + -6) + -6m + 1 Reorder the terms: 14 + 9 + -3m + -9m = 7m + -1(5m + -6) + -6m + 1 Combine like terms: 14 + 9 = 23 23 + -3m + -9m = 7m + -1(5m + -6) + -6m + 1 Combine like terms: -3m + -9m = -12m 23 + -12m = 7m + -1(5m + -6) + -6m + 1 Reorder the terms: 23 + -12m = 7m + -1(-6 + 5m) + -6m + 1 23 + -12m = 7m + (-6 * -1 + 5m * -1) + -6m + 1 23 + -12m = 7m + (6 + -5m) + -6m + 1 Reorder the terms: 23 + -12m = 6 + 1 + 7m + -5m + -6m Combine like terms: 6 + 1 = 7 23 + -12m = 7 + 7m + -5m + -6m Combine like terms: 7m + -5m = 2m 23 + -12m = 7 + 2m + -6m Combine like terms: 2m + -6m = -4m 23 + -12m = 7 + -4m Solving 23 + -12m = 7 + -4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4m' to each side of the equation. 23 + -12m + 4m = 7 + -4m + 4m Combine like terms: -12m + 4m = -8m 23 + -8m = 7 + -4m + 4m Combine like terms: -4m + 4m = 0 23 + -8m = 7 + 0 23 + -8m = 7 Add '-23' to each side of the equation. 23 + -23 + -8m = 7 + -23 Combine like terms: 23 + -23 = 0 0 + -8m = 7 + -23 -8m = 7 + -23 Combine like terms: 7 + -23 = -16 -8m = -16 Divide each side by '-8'. m = 2 Simplifying m = 2
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