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Simplifying 8 + 12m + -3 = 9m + 54 + -4m Reorder the terms: 8 + -3 + 12m = 9m + 54 + -4m Combine like terms: 8 + -3 = 5 5 + 12m = 9m + 54 + -4m Reorder the terms: 5 + 12m = 54 + 9m + -4m Combine like terms: 9m + -4m = 5m 5 + 12m = 54 + 5m Solving 5 + 12m = 54 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 5 + 12m + -5m = 54 + 5m + -5m Combine like terms: 12m + -5m = 7m 5 + 7m = 54 + 5m + -5m Combine like terms: 5m + -5m = 0 5 + 7m = 54 + 0 5 + 7m = 54 Add '-5' to each side of the equation. 5 + -5 + 7m = 54 + -5 Combine like terms: 5 + -5 = 0 0 + 7m = 54 + -5 7m = 54 + -5 Combine like terms: 54 + -5 = 49 7m = 49 Divide each side by '7'. m = 7 Simplifying m = 7
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