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Simplifying 10m + 3n + -2m + 9n = 0 Reorder the terms: 10m + -2m + 3n + 9n = 0 Combine like terms: 10m + -2m = 8m 8m + 3n + 9n = 0 Combine like terms: 3n + 9n = 12n 8m + 12n = 0 Solving 8m + 12n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12n' to each side of the equation. 8m + 12n + -12n = 0 + -12n Combine like terms: 12n + -12n = 0 8m + 0 = 0 + -12n 8m = 0 + -12n Remove the zero: 8m = -12n Divide each side by '8'. m = -1.5n Simplifying m = -1.5n
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