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Simplifying 9(3n + 3) = 6(2n + 4) + 6 Reorder the terms: 9(3 + 3n) = 6(2n + 4) + 6 (3 * 9 + 3n * 9) = 6(2n + 4) + 6 (27 + 27n) = 6(2n + 4) + 6 Reorder the terms: 27 + 27n = 6(4 + 2n) + 6 27 + 27n = (4 * 6 + 2n * 6) + 6 27 + 27n = (24 + 12n) + 6 Reorder the terms: 27 + 27n = 24 + 6 + 12n Combine like terms: 24 + 6 = 30 27 + 27n = 30 + 12n Solving 27 + 27n = 30 + 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. 27 + 27n + -12n = 30 + 12n + -12n Combine like terms: 27n + -12n = 15n 27 + 15n = 30 + 12n + -12n Combine like terms: 12n + -12n = 0 27 + 15n = 30 + 0 27 + 15n = 30 Add '-27' to each side of the equation. 27 + -27 + 15n = 30 + -27 Combine like terms: 27 + -27 = 0 0 + 15n = 30 + -27 15n = 30 + -27 Combine like terms: 30 + -27 = 3 15n = 3 Divide each side by '15'. n = 0.2 Simplifying n = 0.2
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