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Simplifying 6(3n + 3) = 7(5n + 1) + 8 Reorder the terms: 6(3 + 3n) = 7(5n + 1) + 8 (3 * 6 + 3n * 6) = 7(5n + 1) + 8 (18 + 18n) = 7(5n + 1) + 8 Reorder the terms: 18 + 18n = 7(1 + 5n) + 8 18 + 18n = (1 * 7 + 5n * 7) + 8 18 + 18n = (7 + 35n) + 8 Reorder the terms: 18 + 18n = 7 + 8 + 35n Combine like terms: 7 + 8 = 15 18 + 18n = 15 + 35n Solving 18 + 18n = 15 + 35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-35n' to each side of the equation. 18 + 18n + -35n = 15 + 35n + -35n Combine like terms: 18n + -35n = -17n 18 + -17n = 15 + 35n + -35n Combine like terms: 35n + -35n = 0 18 + -17n = 15 + 0 18 + -17n = 15 Add '-18' to each side of the equation. 18 + -18 + -17n = 15 + -18 Combine like terms: 18 + -18 = 0 0 + -17n = 15 + -18 -17n = 15 + -18 Combine like terms: 15 + -18 = -3 -17n = -3 Divide each side by '-17'. n = 0.1764705882 Simplifying n = 0.1764705882
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