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Simplifying 4(3n + 1) = 9(3n + 7) + 9 Reorder the terms: 4(1 + 3n) = 9(3n + 7) + 9 (1 * 4 + 3n * 4) = 9(3n + 7) + 9 (4 + 12n) = 9(3n + 7) + 9 Reorder the terms: 4 + 12n = 9(7 + 3n) + 9 4 + 12n = (7 * 9 + 3n * 9) + 9 4 + 12n = (63 + 27n) + 9 Reorder the terms: 4 + 12n = 63 + 9 + 27n Combine like terms: 63 + 9 = 72 4 + 12n = 72 + 27n Solving 4 + 12n = 72 + 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. 4 + 12n + -27n = 72 + 27n + -27n Combine like terms: 12n + -27n = -15n 4 + -15n = 72 + 27n + -27n Combine like terms: 27n + -27n = 0 4 + -15n = 72 + 0 4 + -15n = 72 Add '-4' to each side of the equation. 4 + -4 + -15n = 72 + -4 Combine like terms: 4 + -4 = 0 0 + -15n = 72 + -4 -15n = 72 + -4 Combine like terms: 72 + -4 = 68 -15n = 68 Divide each side by '-15'. n = -4.533333333 Simplifying n = -4.533333333
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