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Simplifying 12m + 8 = 7m + 38 Reorder the terms: 8 + 12m = 7m + 38 Reorder the terms: 8 + 12m = 38 + 7m Solving 8 + 12m = 38 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. 8 + 12m + -7m = 38 + 7m + -7m Combine like terms: 12m + -7m = 5m 8 + 5m = 38 + 7m + -7m Combine like terms: 7m + -7m = 0 8 + 5m = 38 + 0 8 + 5m = 38 Add '-8' to each side of the equation. 8 + -8 + 5m = 38 + -8 Combine like terms: 8 + -8 = 0 0 + 5m = 38 + -8 5m = 38 + -8 Combine like terms: 38 + -8 = 30 5m = 30 Divide each side by '5'. m = 6 Simplifying m = 6
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