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Simplifying 8(3n + 1) = 6(6n + 4) + 9 Reorder the terms: 8(1 + 3n) = 6(6n + 4) + 9 (1 * 8 + 3n * 8) = 6(6n + 4) + 9 (8 + 24n) = 6(6n + 4) + 9 Reorder the terms: 8 + 24n = 6(4 + 6n) + 9 8 + 24n = (4 * 6 + 6n * 6) + 9 8 + 24n = (24 + 36n) + 9 Reorder the terms: 8 + 24n = 24 + 9 + 36n Combine like terms: 24 + 9 = 33 8 + 24n = 33 + 36n Solving 8 + 24n = 33 + 36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-36n' to each side of the equation. 8 + 24n + -36n = 33 + 36n + -36n Combine like terms: 24n + -36n = -12n 8 + -12n = 33 + 36n + -36n Combine like terms: 36n + -36n = 0 8 + -12n = 33 + 0 8 + -12n = 33 Add '-8' to each side of the equation. 8 + -8 + -12n = 33 + -8 Combine like terms: 8 + -8 = 0 0 + -12n = 33 + -8 -12n = 33 + -8 Combine like terms: 33 + -8 = 25 -12n = 25 Divide each side by '-12'. n = -2.083333333 Simplifying n = -2.083333333
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