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Simplifying 6m + 4n + -5m + 3n = 0 Reorder the terms: 6m + -5m + 4n + 3n = 0 Combine like terms: 6m + -5m = 1m 1m + 4n + 3n = 0 Combine like terms: 4n + 3n = 7n 1m + 7n = 0 Solving 1m + 7n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7n' to each side of the equation. 1m + 7n + -7n = 0 + -7n Combine like terms: 7n + -7n = 0 1m + 0 = 0 + -7n 1m = 0 + -7n Remove the zero: 1m = -7n Divide each side by '1'. m = -7n Simplifying m = -7n
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