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Simplifying 6 + 14m + -4 = 9m + 12 + -5m Reorder the terms: 6 + -4 + 14m = 9m + 12 + -5m Combine like terms: 6 + -4 = 2 2 + 14m = 9m + 12 + -5m Reorder the terms: 2 + 14m = 12 + 9m + -5m Combine like terms: 9m + -5m = 4m 2 + 14m = 12 + 4m Solving 2 + 14m = 12 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 2 + 14m + -4m = 12 + 4m + -4m Combine like terms: 14m + -4m = 10m 2 + 10m = 12 + 4m + -4m Combine like terms: 4m + -4m = 0 2 + 10m = 12 + 0 2 + 10m = 12 Add '-2' to each side of the equation. 2 + -2 + 10m = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 10m = 12 + -2 10m = 12 + -2 Combine like terms: 12 + -2 = 10 10m = 10 Divide each side by '10'. m = 1 Simplifying m = 1
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