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Simplifying 4(3n + 2) = 9(3n + 7) + 1 Reorder the terms: 4(2 + 3n) = 9(3n + 7) + 1 (2 * 4 + 3n * 4) = 9(3n + 7) + 1 (8 + 12n) = 9(3n + 7) + 1 Reorder the terms: 8 + 12n = 9(7 + 3n) + 1 8 + 12n = (7 * 9 + 3n * 9) + 1 8 + 12n = (63 + 27n) + 1 Reorder the terms: 8 + 12n = 63 + 1 + 27n Combine like terms: 63 + 1 = 64 8 + 12n = 64 + 27n Solving 8 + 12n = 64 + 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. 8 + 12n + -27n = 64 + 27n + -27n Combine like terms: 12n + -27n = -15n 8 + -15n = 64 + 27n + -27n Combine like terms: 27n + -27n = 0 8 + -15n = 64 + 0 8 + -15n = 64 Add '-8' to each side of the equation. 8 + -8 + -15n = 64 + -8 Combine like terms: 8 + -8 = 0 0 + -15n = 64 + -8 -15n = 64 + -8 Combine like terms: 64 + -8 = 56 -15n = 56 Divide each side by '-15'. n = -3.733333333 Simplifying n = -3.733333333
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