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Simplifying 7(3n + 2) = 8(6n + 8) + 5 Reorder the terms: 7(2 + 3n) = 8(6n + 8) + 5 (2 * 7 + 3n * 7) = 8(6n + 8) + 5 (14 + 21n) = 8(6n + 8) + 5 Reorder the terms: 14 + 21n = 8(8 + 6n) + 5 14 + 21n = (8 * 8 + 6n * 8) + 5 14 + 21n = (64 + 48n) + 5 Reorder the terms: 14 + 21n = 64 + 5 + 48n Combine like terms: 64 + 5 = 69 14 + 21n = 69 + 48n Solving 14 + 21n = 69 + 48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-48n' to each side of the equation. 14 + 21n + -48n = 69 + 48n + -48n Combine like terms: 21n + -48n = -27n 14 + -27n = 69 + 48n + -48n Combine like terms: 48n + -48n = 0 14 + -27n = 69 + 0 14 + -27n = 69 Add '-14' to each side of the equation. 14 + -14 + -27n = 69 + -14 Combine like terms: 14 + -14 = 0 0 + -27n = 69 + -14 -27n = 69 + -14 Combine like terms: 69 + -14 = 55 -27n = 55 Divide each side by '-27'. n = -2.037037037 Simplifying n = -2.037037037
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