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Simplifying 3(3n + 3) = 6(4n + 6) + 6 Reorder the terms: 3(3 + 3n) = 6(4n + 6) + 6 (3 * 3 + 3n * 3) = 6(4n + 6) + 6 (9 + 9n) = 6(4n + 6) + 6 Reorder the terms: 9 + 9n = 6(6 + 4n) + 6 9 + 9n = (6 * 6 + 4n * 6) + 6 9 + 9n = (36 + 24n) + 6 Reorder the terms: 9 + 9n = 36 + 6 + 24n Combine like terms: 36 + 6 = 42 9 + 9n = 42 + 24n Solving 9 + 9n = 42 + 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 = 42 + 24n + -24n Combine like terms: 9n + -24n = -15n 9 + -15n = 42 + 24n + -24n Combine like terms: 24n + -24n = 0 9 + -15n = 42 + 0 9 + -15n = 42 Add '-9' to each side of the equation. 9 + -9 + -15n = 42 + -9 Combine like terms: 9 + -9 = 0 0 + -15n = 42 + -9 -15n = 42 + -9 Combine like terms: 42 + -9 = 33 -15n = 33 Divide each side by '-15'. n = -2.2 Simplifying n = -2.2
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