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Simplifying -9 + -2(-6n + -6) = -2(n + 1) + 9 Reorder the terms: -9 + -2(-6 + -6n) = -2(n + 1) + 9 -9 + (-6 * -2 + -6n * -2) = -2(n + 1) + 9 -9 + (12 + 12n) = -2(n + 1) + 9 Combine like terms: -9 + 12 = 3 3 + 12n = -2(n + 1) + 9 Reorder the terms: 3 + 12n = -2(1 + n) + 9 3 + 12n = (1 * -2 + n * -2) + 9 3 + 12n = (-2 + -2n) + 9 Reorder the terms: 3 + 12n = -2 + 9 + -2n Combine like terms: -2 + 9 = 7 3 + 12n = 7 + -2n Solving 3 + 12n = 7 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 3 + 12n + 2n = 7 + -2n + 2n Combine like terms: 12n + 2n = 14n 3 + 14n = 7 + -2n + 2n Combine like terms: -2n + 2n = 0 3 + 14n = 7 + 0 3 + 14n = 7 Add '-3' to each side of the equation. 3 + -3 + 14n = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 14n = 7 + -3 14n = 7 + -3 Combine like terms: 7 + -3 = 4 14n = 4 Divide each side by '14'. n = 0.2857142857 Simplifying n = 0.2857142857
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