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Simplifying 3(2n + 3) = 9(3n + 3) + 5 Reorder the terms: 3(3 + 2n) = 9(3n + 3) + 5 (3 * 3 + 2n * 3) = 9(3n + 3) + 5 (9 + 6n) = 9(3n + 3) + 5 Reorder the terms: 9 + 6n = 9(3 + 3n) + 5 9 + 6n = (3 * 9 + 3n * 9) + 5 9 + 6n = (27 + 27n) + 5 Reorder the terms: 9 + 6n = 27 + 5 + 27n Combine like terms: 27 + 5 = 32 9 + 6n = 32 + 27n Solving 9 + 6n = 32 + 27n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-27n' to each side of the equation. 9 + 6n + -27n = 32 + 27n + -27n Combine like terms: 6n + -27n = -21n 9 + -21n = 32 + 27n + -27n Combine like terms: 27n + -27n = 0 9 + -21n = 32 + 0 9 + -21n = 32 Add '-9' to each side of the equation. 9 + -9 + -21n = 32 + -9 Combine like terms: 9 + -9 = 0 0 + -21n = 32 + -9 -21n = 32 + -9 Combine like terms: 32 + -9 = 23 -21n = 23 Divide each side by '-21'. n = -1.095238095 Simplifying n = -1.095238095
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