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Simplifying 2 + -6n + 8n = 2(1 + -6n) + (3n + 2) Combine like terms: -6n + 8n = 2n 2 + 2n = 2(1 + -6n) + (3n + 2) 2 + 2n = (1 * 2 + -6n * 2) + (3n + 2) 2 + 2n = (2 + -12n) + (3n + 2) Reorder the terms: 2 + 2n = 2 + -12n + (2 + 3n) Remove parenthesis around (2 + 3n) 2 + 2n = 2 + -12n + 2 + 3n Reorder the terms: 2 + 2n = 2 + 2 + -12n + 3n Combine like terms: 2 + 2 = 4 2 + 2n = 4 + -12n + 3n Combine like terms: -12n + 3n = -9n 2 + 2n = 4 + -9n Solving 2 + 2n = 4 + -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. 2 + 2n + 9n = 4 + -9n + 9n Combine like terms: 2n + 9n = 11n 2 + 11n = 4 + -9n + 9n Combine like terms: -9n + 9n = 0 2 + 11n = 4 + 0 2 + 11n = 4 Add '-2' to each side of the equation. 2 + -2 + 11n = 4 + -2 Combine like terms: 2 + -2 = 0 0 + 11n = 4 + -2 11n = 4 + -2 Combine like terms: 4 + -2 = 2 11n = 2 Divide each side by '11'. n = 0.1818181818 Simplifying n = 0.1818181818
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