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Simplifying 12m + 14 = 15m + 23 Reorder the terms: 14 + 12m = 15m + 23 Reorder the terms: 14 + 12m = 23 + 15m Solving 14 + 12m = 23 + 15m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15m' to each side of the equation. 14 + 12m + -15m = 23 + 15m + -15m Combine like terms: 12m + -15m = -3m 14 + -3m = 23 + 15m + -15m Combine like terms: 15m + -15m = 0 14 + -3m = 23 + 0 14 + -3m = 23 Add '-14' to each side of the equation. 14 + -14 + -3m = 23 + -14 Combine like terms: 14 + -14 = 0 0 + -3m = 23 + -14 -3m = 23 + -14 Combine like terms: 23 + -14 = 9 -3m = 9 Divide each side by '-3'. m = -3 Simplifying m = -3
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