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Simplifying 4m + 5n + -2m + 9n = 0 Reorder the terms: 4m + -2m + 5n + 9n = 0 Combine like terms: 4m + -2m = 2m 2m + 5n + 9n = 0 Combine like terms: 5n + 9n = 14n 2m + 14n = 0 Solving 2m + 14n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-14n' to each side of the equation. 2m + 14n + -14n = 0 + -14n Combine like terms: 14n + -14n = 0 2m + 0 = 0 + -14n 2m = 0 + -14n Remove the zero: 2m = -14n Divide each side by '2'. m = -7n Simplifying m = -7n
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