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Simplifying 8(3n + 1) = 7(6n + 4) + 8 Reorder the terms: 8(1 + 3n) = 7(6n + 4) + 8 (1 * 8 + 3n * 8) = 7(6n + 4) + 8 (8 + 24n) = 7(6n + 4) + 8 Reorder the terms: 8 + 24n = 7(4 + 6n) + 8 8 + 24n = (4 * 7 + 6n * 7) + 8 8 + 24n = (28 + 42n) + 8 Reorder the terms: 8 + 24n = 28 + 8 + 42n Combine like terms: 28 + 8 = 36 8 + 24n = 36 + 42n Solving 8 + 24n = 36 + 42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42n' to each side of the equation. 8 + 24n + -42n = 36 + 42n + -42n Combine like terms: 24n + -42n = -18n 8 + -18n = 36 + 42n + -42n Combine like terms: 42n + -42n = 0 8 + -18n = 36 + 0 8 + -18n = 36 Add '-8' to each side of the equation. 8 + -8 + -18n = 36 + -8 Combine like terms: 8 + -8 = 0 0 + -18n = 36 + -8 -18n = 36 + -8 Combine like terms: 36 + -8 = 28 -18n = 28 Divide each side by '-18'. n = -1.555555556 Simplifying n = -1.555555556
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