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Simplifying -27 + 8x + 14n + -2x + -2n + -4 = 0 Reorder the terms: -27 + -4 + 14n + -2n + 8x + -2x = 0 Combine like terms: -27 + -4 = -31 -31 + 14n + -2n + 8x + -2x = 0 Combine like terms: 14n + -2n = 12n -31 + 12n + 8x + -2x = 0 Combine like terms: 8x + -2x = 6x -31 + 12n + 6x = 0 Solving -31 + 12n + 6x = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 12n + 31 + 6x = 0 + 31 Reorder the terms: -31 + 31 + 12n + 6x = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 12n + 6x = 0 + 31 12n + 6x = 0 + 31 Combine like terms: 0 + 31 = 31 12n + 6x = 31 Add '-6x' to each side of the equation. 12n + 6x + -6x = 31 + -6x Combine like terms: 6x + -6x = 0 12n + 0 = 31 + -6x 12n = 31 + -6x Divide each side by '12'. n = 2.583333333 + -0.5x Simplifying n = 2.583333333 + -0.5x
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