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Simplifying 80 = 7(-2 + 2n) + 6(1 + -6n) 80 = (-2 * 7 + 2n * 7) + 6(1 + -6n) 80 = (-14 + 14n) + 6(1 + -6n) 80 = -14 + 14n + (1 * 6 + -6n * 6) 80 = -14 + 14n + (6 + -36n) Reorder the terms: 80 = -14 + 6 + 14n + -36n Combine like terms: -14 + 6 = -8 80 = -8 + 14n + -36n Combine like terms: 14n + -36n = -22n 80 = -8 + -22n Solving 80 = -8 + -22n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '22n' to each side of the equation. 80 + 22n = -8 + -22n + 22n Combine like terms: -22n + 22n = 0 80 + 22n = -8 + 0 80 + 22n = -8 Add '-80' to each side of the equation. 80 + -80 + 22n = -8 + -80 Combine like terms: 80 + -80 = 0 0 + 22n = -8 + -80 22n = -8 + -80 Combine like terms: -8 + -80 = -88 22n = -88 Divide each side by '22'. n = -4 Simplifying n = -4
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