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Simplifying 4(3m + 2n) + -2(6m + 5n) = 0 (3m * 4 + 2n * 4) + -2(6m + 5n) = 0 (12m + 8n) + -2(6m + 5n) = 0 12m + 8n + (6m * -2 + 5n * -2) = 0 12m + 8n + (-12m + -10n) = 0 Reorder the terms: 12m + -12m + 8n + -10n = 0 Combine like terms: 12m + -12m = 0 0 + 8n + -10n = 0 8n + -10n = 0 Combine like terms: 8n + -10n = -2n -2n = 0 Solving -2n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Divide each side by '-2'. n = 0 Simplifying n = 0
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