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Simplifying 3m + 14 = 5m + -12 Reorder the terms: 14 + 3m = 5m + -12 Reorder the terms: 14 + 3m = -12 + 5m Solving 14 + 3m = -12 + 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. 14 + 3m + -5m = -12 + 5m + -5m Combine like terms: 3m + -5m = -2m 14 + -2m = -12 + 5m + -5m Combine like terms: 5m + -5m = 0 14 + -2m = -12 + 0 14 + -2m = -12 Add '-14' to each side of the equation. 14 + -14 + -2m = -12 + -14 Combine like terms: 14 + -14 = 0 0 + -2m = -12 + -14 -2m = -12 + -14 Combine like terms: -12 + -14 = -26 -2m = -26 Divide each side by '-2'. m = 13 Simplifying m = 13
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