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Simplifying 8m + 3n + -6m + 10n = 0 Reorder the terms: 8m + -6m + 3n + 10n = 0 Combine like terms: 8m + -6m = 2m 2m + 3n + 10n = 0 Combine like terms: 3n + 10n = 13n 2m + 13n = 0 Solving 2m + 13n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-13n' to each side of the equation. 2m + 13n + -13n = 0 + -13n Combine like terms: 13n + -13n = 0 2m + 0 = 0 + -13n 2m = 0 + -13n Remove the zero: 2m = -13n Divide each side by '2'. m = -6.5n Simplifying m = -6.5n
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