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Simplifying 6(2n + 4) = 9(3n + 2) + 1 Reorder the terms: 6(4 + 2n) = 9(3n + 2) + 1 (4 * 6 + 2n * 6) = 9(3n + 2) + 1 (24 + 12n) = 9(3n + 2) + 1 Reorder the terms: 24 + 12n = 9(2 + 3n) + 1 24 + 12n = (2 * 9 + 3n * 9) + 1 24 + 12n = (18 + 27n) + 1 Reorder the terms: 24 + 12n = 18 + 1 + 27n Combine like terms: 18 + 1 = 19 24 + 12n = 19 + 27n Solving 24 + 12n = 19 + 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. 24 + 12n + -27n = 19 + 27n + -27n Combine like terms: 12n + -27n = -15n 24 + -15n = 19 + 27n + -27n Combine like terms: 27n + -27n = 0 24 + -15n = 19 + 0 24 + -15n = 19 Add '-24' to each side of the equation. 24 + -24 + -15n = 19 + -24 Combine like terms: 24 + -24 = 0 0 + -15n = 19 + -24 -15n = 19 + -24 Combine like terms: 19 + -24 = -5 -15n = -5 Divide each side by '-15'. n = 0.3333333333 Simplifying n = 0.3333333333
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