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Simplifying 14 + -5m + 16 = -12m + 16 Reorder the terms: 14 + 16 + -5m = -12m + 16 Combine like terms: 14 + 16 = 30 30 + -5m = -12m + 16 Reorder the terms: 30 + -5m = 16 + -12m Solving 30 + -5m = 16 + -12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '12m' to each side of the equation. 30 + -5m + 12m = 16 + -12m + 12m Combine like terms: -5m + 12m = 7m 30 + 7m = 16 + -12m + 12m Combine like terms: -12m + 12m = 0 30 + 7m = 16 + 0 30 + 7m = 16 Add '-30' to each side of the equation. 30 + -30 + 7m = 16 + -30 Combine like terms: 30 + -30 = 0 0 + 7m = 16 + -30 7m = 16 + -30 Combine like terms: 16 + -30 = -14 7m = -14 Divide each side by '7'. m = -2 Simplifying m = -2
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