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Simplifying 10m + 4n + -2m + 9n = 0 Reorder the terms: 10m + -2m + 4n + 9n = 0 Combine like terms: 10m + -2m = 8m 8m + 4n + 9n = 0 Combine like terms: 4n + 9n = 13n 8m + 13n = 0 Solving 8m + 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. 8m + 13n + -13n = 0 + -13n Combine like terms: 13n + -13n = 0 8m + 0 = 0 + -13n 8m = 0 + -13n Remove the zero: 8m = -13n Divide each side by '8'. m = -1.625n Simplifying m = -1.625n
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