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Simplifying 8m + 6n + -4m + 10n = 0 Reorder the terms: 8m + -4m + 6n + 10n = 0 Combine like terms: 8m + -4m = 4m 4m + 6n + 10n = 0 Combine like terms: 6n + 10n = 16n 4m + 16n = 0 Solving 4m + 16n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-16n' to each side of the equation. 4m + 16n + -16n = 0 + -16n Combine like terms: 16n + -16n = 0 4m + 0 = 0 + -16n 4m = 0 + -16n Remove the zero: 4m = -16n Divide each side by '4'. m = -4n Simplifying m = -4n
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