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Simplifying -2x2 + -12x + 5 + -1x + 8x2 + n = 0 Reorder the terms: 5 + n + -12x + -1x + -2x2 + 8x2 = 0 Combine like terms: -12x + -1x = -13x 5 + n + -13x + -2x2 + 8x2 = 0 Combine like terms: -2x2 + 8x2 = 6x2 5 + n + -13x + 6x2 = 0 Solving 5 + n + -13x + 6x2 = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + n + -13x + -5 + 6x2 = 0 + -5 Reorder the terms: 5 + -5 + n + -13x + 6x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + n + -13x + 6x2 = 0 + -5 n + -13x + 6x2 = 0 + -5 Combine like terms: 0 + -5 = -5 n + -13x + 6x2 = -5 Add '13x' to each side of the equation. n + -13x + 13x + 6x2 = -5 + 13x Combine like terms: -13x + 13x = 0 n + 0 + 6x2 = -5 + 13x n + 6x2 = -5 + 13x Add '-6x2' to each side of the equation. n + 6x2 + -6x2 = -5 + 13x + -6x2 Combine like terms: 6x2 + -6x2 = 0 n + 0 = -5 + 13x + -6x2 n = -5 + 13x + -6x2 Simplifying n = -5 + 13x + -6x2
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