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Simplifying 6(2m + n) + 3(n + -4m) = 0 (2m * 6 + n * 6) + 3(n + -4m) = 0 (12m + 6n) + 3(n + -4m) = 0 Reorder the terms: 12m + 6n + 3(-4m + n) = 0 12m + 6n + (-4m * 3 + n * 3) = 0 12m + 6n + (-12m + 3n) = 0 Reorder the terms: 12m + -12m + 6n + 3n = 0 Combine like terms: 12m + -12m = 0 0 + 6n + 3n = 0 6n + 3n = 0 Combine like terms: 6n + 3n = 9n 9n = 0 Solving 9n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Divide each side by '9'. n = 0 Simplifying n = 0
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