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Simplifying 12m + 51 = 5m + 100 Reorder the terms: 51 + 12m = 5m + 100 Reorder the terms: 51 + 12m = 100 + 5m Solving 51 + 12m = 100 + 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. 51 + 12m + -5m = 100 + 5m + -5m Combine like terms: 12m + -5m = 7m 51 + 7m = 100 + 5m + -5m Combine like terms: 5m + -5m = 0 51 + 7m = 100 + 0 51 + 7m = 100 Add '-51' to each side of the equation. 51 + -51 + 7m = 100 + -51 Combine like terms: 51 + -51 = 0 0 + 7m = 100 + -51 7m = 100 + -51 Combine like terms: 100 + -51 = 49 7m = 49 Divide each side by '7'. m = 7 Simplifying m = 7
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