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Simplifying 8(3n + 3) = 9(5n + 1) + 6 Reorder the terms: 8(3 + 3n) = 9(5n + 1) + 6 (3 * 8 + 3n * 8) = 9(5n + 1) + 6 (24 + 24n) = 9(5n + 1) + 6 Reorder the terms: 24 + 24n = 9(1 + 5n) + 6 24 + 24n = (1 * 9 + 5n * 9) + 6 24 + 24n = (9 + 45n) + 6 Reorder the terms: 24 + 24n = 9 + 6 + 45n Combine like terms: 9 + 6 = 15 24 + 24n = 15 + 45n Solving 24 + 24n = 15 + 45n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-45n' to each side of the equation. 24 + 24n + -45n = 15 + 45n + -45n Combine like terms: 24n + -45n = -21n 24 + -21n = 15 + 45n + -45n Combine like terms: 45n + -45n = 0 24 + -21n = 15 + 0 24 + -21n = 15 Add '-24' to each side of the equation. 24 + -24 + -21n = 15 + -24 Combine like terms: 24 + -24 = 0 0 + -21n = 15 + -24 -21n = 15 + -24 Combine like terms: 15 + -24 = -9 -21n = -9 Divide each side by '-21'. n = 0.4285714286 Simplifying n = 0.4285714286
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