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Simplifying 6m + 3n + -8m + 2n = 0 Reorder the terms: 6m + -8m + 3n + 2n = 0 Combine like terms: 6m + -8m = -2m -2m + 3n + 2n = 0 Combine like terms: 3n + 2n = 5n -2m + 5n = 0 Solving -2m + 5n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5n' to each side of the equation. -2m + 5n + -5n = 0 + -5n Combine like terms: 5n + -5n = 0 -2m + 0 = 0 + -5n -2m = 0 + -5n Remove the zero: -2m = -5n Divide each side by '-2'. m = 2.5n Simplifying m = 2.5n

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