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Simplifying 8 + -1(6 + -6n) + 15n = -2 + 12(n + 1) 8 + (6 * -1 + -6n * -1) + 15n = -2 + 12(n + 1) 8 + (-6 + 6n) + 15n = -2 + 12(n + 1) Combine like terms: 8 + -6 = 2 2 + 6n + 15n = -2 + 12(n + 1) Combine like terms: 6n + 15n = 21n 2 + 21n = -2 + 12(n + 1) Reorder the terms: 2 + 21n = -2 + 12(1 + n) 2 + 21n = -2 + (1 * 12 + n * 12) 2 + 21n = -2 + (12 + 12n) Combine like terms: -2 + 12 = 10 2 + 21n = 10 + 12n Solving 2 + 21n = 10 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 2 + 21n + -12n = 10 + 12n + -12n Combine like terms: 21n + -12n = 9n 2 + 9n = 10 + 12n + -12n Combine like terms: 12n + -12n = 0 2 + 9n = 10 + 0 2 + 9n = 10 Add '-2' to each side of the equation. 2 + -2 + 9n = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 9n = 10 + -2 9n = 10 + -2 Combine like terms: 10 + -2 = 8 9n = 8 Divide each side by '9'. n = 0.8888888889 Simplifying n = 0.8888888889
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