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Simplifying 12(x2 + -5n) + 3n + -4x2 = 0 Reorder the terms: 12(-5n + x2) + 3n + -4x2 = 0 (-5n * 12 + x2 * 12) + 3n + -4x2 = 0 (-60n + 12x2) + 3n + -4x2 = 0 Reorder the terms: -60n + 3n + 12x2 + -4x2 = 0 Combine like terms: -60n + 3n = -57n -57n + 12x2 + -4x2 = 0 Combine like terms: 12x2 + -4x2 = 8x2 -57n + 8x2 = 0 Solving -57n + 8x2 = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8x2' to each side of the equation. -57n + 8x2 + -8x2 = 0 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -57n + 0 = 0 + -8x2 -57n = 0 + -8x2 Remove the zero: -57n = -8x2 Divide each side by '-57'. n = 0.1403508772x2 Simplifying n = 0.1403508772x2
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