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Simplifying 14m + 3n + -5m + 9 = 0 Reorder the terms: 9 + 14m + -5m + 3n = 0 Combine like terms: 14m + -5m = 9m 9 + 9m + 3n = 0 Solving 9 + 9m + 3n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 9m + -9 + 3n = 0 + -9 Reorder the terms: 9 + -9 + 9m + 3n = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 9m + 3n = 0 + -9 9m + 3n = 0 + -9 Combine like terms: 0 + -9 = -9 9m + 3n = -9 Add '-3n' to each side of the equation. 9m + 3n + -3n = -9 + -3n Combine like terms: 3n + -3n = 0 9m + 0 = -9 + -3n 9m = -9 + -3n Divide each side by '9'. m = -1 + -0.3333333333n Simplifying m = -1 + -0.3333333333n
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