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Simplifying 2m + 2n + -2(3m + -4n) = 0 2m + 2n + (3m * -2 + -4n * -2) = 0 2m + 2n + (-6m + 8n) = 0 Reorder the terms: 2m + -6m + 2n + 8n = 0 Combine like terms: 2m + -6m = -4m -4m + 2n + 8n = 0 Combine like terms: 2n + 8n = 10n -4m + 10n = 0 Solving -4m + 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. -4m + 10n + -10n = 0 + -10n Combine like terms: 10n + -10n = 0 -4m + 0 = 0 + -10n -4m = 0 + -10n Remove the zero: -4m = -10n Divide each side by '-4'. m = 2.5n Simplifying m = 2.5n
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