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Simplifying 6(2n + 2) = 9(6n + 2) + 9 Reorder the terms: 6(2 + 2n) = 9(6n + 2) + 9 (2 * 6 + 2n * 6) = 9(6n + 2) + 9 (12 + 12n) = 9(6n + 2) + 9 Reorder the terms: 12 + 12n = 9(2 + 6n) + 9 12 + 12n = (2 * 9 + 6n * 9) + 9 12 + 12n = (18 + 54n) + 9 Reorder the terms: 12 + 12n = 18 + 9 + 54n Combine like terms: 18 + 9 = 27 12 + 12n = 27 + 54n Solving 12 + 12n = 27 + 54n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-54n' to each side of the equation. 12 + 12n + -54n = 27 + 54n + -54n Combine like terms: 12n + -54n = -42n 12 + -42n = 27 + 54n + -54n Combine like terms: 54n + -54n = 0 12 + -42n = 27 + 0 12 + -42n = 27 Add '-12' to each side of the equation. 12 + -12 + -42n = 27 + -12 Combine like terms: 12 + -12 = 0 0 + -42n = 27 + -12 -42n = 27 + -12 Combine like terms: 27 + -12 = 15 -42n = 15 Divide each side by '-42'. n = -0.3571428571 Simplifying n = -0.3571428571
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