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Simplifying 6(3n + 5) = 7(5n + 3) + 8 Reorder the terms: 6(5 + 3n) = 7(5n + 3) + 8 (5 * 6 + 3n * 6) = 7(5n + 3) + 8 (30 + 18n) = 7(5n + 3) + 8 Reorder the terms: 30 + 18n = 7(3 + 5n) + 8 30 + 18n = (3 * 7 + 5n * 7) + 8 30 + 18n = (21 + 35n) + 8 Reorder the terms: 30 + 18n = 21 + 8 + 35n Combine like terms: 21 + 8 = 29 30 + 18n = 29 + 35n Solving 30 + 18n = 29 + 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. 30 + 18n + -35n = 29 + 35n + -35n Combine like terms: 18n + -35n = -17n 30 + -17n = 29 + 35n + -35n Combine like terms: 35n + -35n = 0 30 + -17n = 29 + 0 30 + -17n = 29 Add '-30' to each side of the equation. 30 + -30 + -17n = 29 + -30 Combine like terms: 30 + -30 = 0 0 + -17n = 29 + -30 -17n = 29 + -30 Combine like terms: 29 + -30 = -1 -17n = -1 Divide each side by '-17'. n = 0.05882352941 Simplifying n = 0.05882352941
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