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Simplifying -3m + 14 + -6m + 12 = 8m + -5m + 4 + -7m + 7 Reorder the terms: 14 + 12 + -3m + -6m = 8m + -5m + 4 + -7m + 7 Combine like terms: 14 + 12 = 26 26 + -3m + -6m = 8m + -5m + 4 + -7m + 7 Combine like terms: -3m + -6m = -9m 26 + -9m = 8m + -5m + 4 + -7m + 7 Reorder the terms: 26 + -9m = 4 + 7 + 8m + -5m + -7m Combine like terms: 4 + 7 = 11 26 + -9m = 11 + 8m + -5m + -7m Combine like terms: 8m + -5m = 3m 26 + -9m = 11 + 3m + -7m Combine like terms: 3m + -7m = -4m 26 + -9m = 11 + -4m Solving 26 + -9m = 11 + -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. 26 + -9m + 4m = 11 + -4m + 4m Combine like terms: -9m + 4m = -5m 26 + -5m = 11 + -4m + 4m Combine like terms: -4m + 4m = 0 26 + -5m = 11 + 0 26 + -5m = 11 Add '-26' to each side of the equation. 26 + -26 + -5m = 11 + -26 Combine like terms: 26 + -26 = 0 0 + -5m = 11 + -26 -5m = 11 + -26 Combine like terms: 11 + -26 = -15 -5m = -15 Divide each side by '-5'. m = 3 Simplifying m = 3
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