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Simplifying 4(2m + -1n) + 8(3n + -1m) = 0 (2m * 4 + -1n * 4) + 8(3n + -1m) = 0 (8m + -4n) + 8(3n + -1m) = 0 Reorder the terms: 8m + -4n + 8(-1m + 3n) = 0 8m + -4n + (-1m * 8 + 3n * 8) = 0 8m + -4n + (-8m + 24n) = 0 Reorder the terms: 8m + -8m + -4n + 24n = 0 Combine like terms: 8m + -8m = 0 0 + -4n + 24n = 0 -4n + 24n = 0 Combine like terms: -4n + 24n = 20n 20n = 0 Solving 20n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Divide each side by '20'. n = 0.0 Simplifying n = 0.0
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