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Simplifying 6n + 2m + -9n + 6m = 0 Reorder the terms: 2m + 6m + 6n + -9n = 0 Combine like terms: 2m + 6m = 8m 8m + 6n + -9n = 0 Combine like terms: 6n + -9n = -3n 8m + -3n = 0 Solving 8m + -3n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3n' to each side of the equation. 8m + -3n + 3n = 0 + 3n Combine like terms: -3n + 3n = 0 8m + 0 = 0 + 3n 8m = 0 + 3n Remove the zero: 8m = 3n Divide each side by '8'. m = 0.375n Simplifying m = 0.375n
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