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Simplifying 3(3n + 3) = 6(4n + 2) + 8 Reorder the terms: 3(3 + 3n) = 6(4n + 2) + 8 (3 * 3 + 3n * 3) = 6(4n + 2) + 8 (9 + 9n) = 6(4n + 2) + 8 Reorder the terms: 9 + 9n = 6(2 + 4n) + 8 9 + 9n = (2 * 6 + 4n * 6) + 8 9 + 9n = (12 + 24n) + 8 Reorder the terms: 9 + 9n = 12 + 8 + 24n Combine like terms: 12 + 8 = 20 9 + 9n = 20 + 24n Solving 9 + 9n = 20 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. 9 + 9n + -24n = 20 + 24n + -24n Combine like terms: 9n + -24n = -15n 9 + -15n = 20 + 24n + -24n Combine like terms: 24n + -24n = 0 9 + -15n = 20 + 0 9 + -15n = 20 Add '-9' to each side of the equation. 9 + -9 + -15n = 20 + -9 Combine like terms: 9 + -9 = 0 0 + -15n = 20 + -9 -15n = 20 + -9 Combine like terms: 20 + -9 = 11 -15n = 11 Divide each side by '-15'. n = -0.7333333333 Simplifying n = -0.7333333333
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