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