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Simplifying 8 + 12m + -4 = 6m + 76 + -3m Reorder the terms: 8 + -4 + 12m = 6m + 76 + -3m Combine like terms: 8 + -4 = 4 4 + 12m = 6m + 76 + -3m Reorder the terms: 4 + 12m = 76 + 6m + -3m Combine like terms: 6m + -3m = 3m 4 + 12m = 76 + 3m Solving 4 + 12m = 76 + 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. 4 + 12m + -3m = 76 + 3m + -3m Combine like terms: 12m + -3m = 9m 4 + 9m = 76 + 3m + -3m Combine like terms: 3m + -3m = 0 4 + 9m = 76 + 0 4 + 9m = 76 Add '-4' to each side of the equation. 4 + -4 + 9m = 76 + -4 Combine like terms: 4 + -4 = 0 0 + 9m = 76 + -4 9m = 76 + -4 Combine like terms: 76 + -4 = 72 9m = 72 Divide each side by '9'. m = 8 Simplifying m = 8
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