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Simplifying 8(2n + 1) = 7(7n + 6) + 8 Reorder the terms: 8(1 + 2n) = 7(7n + 6) + 8 (1 * 8 + 2n * 8) = 7(7n + 6) + 8 (8 + 16n) = 7(7n + 6) + 8 Reorder the terms: 8 + 16n = 7(6 + 7n) + 8 8 + 16n = (6 * 7 + 7n * 7) + 8 8 + 16n = (42 + 49n) + 8 Reorder the terms: 8 + 16n = 42 + 8 + 49n Combine like terms: 42 + 8 = 50 8 + 16n = 50 + 49n Solving 8 + 16n = 50 + 49n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-49n' to each side of the equation. 8 + 16n + -49n = 50 + 49n + -49n Combine like terms: 16n + -49n = -33n 8 + -33n = 50 + 49n + -49n Combine like terms: 49n + -49n = 0 8 + -33n = 50 + 0 8 + -33n = 50 Add '-8' to each side of the equation. 8 + -8 + -33n = 50 + -8 Combine like terms: 8 + -8 = 0 0 + -33n = 50 + -8 -33n = 50 + -8 Combine like terms: 50 + -8 = 42 -33n = 42 Divide each side by '-33'. n = -1.272727273 Simplifying n = -1.272727273
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