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Simplifying 12m + -17 = 5m + 18 Reorder the terms: -17 + 12m = 5m + 18 Reorder the terms: -17 + 12m = 18 + 5m Solving -17 + 12m = 18 + 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. -17 + 12m + -5m = 18 + 5m + -5m Combine like terms: 12m + -5m = 7m -17 + 7m = 18 + 5m + -5m Combine like terms: 5m + -5m = 0 -17 + 7m = 18 + 0 -17 + 7m = 18 Add '17' to each side of the equation. -17 + 17 + 7m = 18 + 17 Combine like terms: -17 + 17 = 0 0 + 7m = 18 + 17 7m = 18 + 17 Combine like terms: 18 + 17 = 35 7m = 35 Divide each side by '7'. m = 5 Simplifying m = 5
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