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Simplifying 7(2n + 5) = 8(5n + 2) + 1 Reorder the terms: 7(5 + 2n) = 8(5n + 2) + 1 (5 * 7 + 2n * 7) = 8(5n + 2) + 1 (35 + 14n) = 8(5n + 2) + 1 Reorder the terms: 35 + 14n = 8(2 + 5n) + 1 35 + 14n = (2 * 8 + 5n * 8) + 1 35 + 14n = (16 + 40n) + 1 Reorder the terms: 35 + 14n = 16 + 1 + 40n Combine like terms: 16 + 1 = 17 35 + 14n = 17 + 40n Solving 35 + 14n = 17 + 40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40n' to each side of the equation. 35 + 14n + -40n = 17 + 40n + -40n Combine like terms: 14n + -40n = -26n 35 + -26n = 17 + 40n + -40n Combine like terms: 40n + -40n = 0 35 + -26n = 17 + 0 35 + -26n = 17 Add '-35' to each side of the equation. 35 + -35 + -26n = 17 + -35 Combine like terms: 35 + -35 = 0 0 + -26n = 17 + -35 -26n = 17 + -35 Combine like terms: 17 + -35 = -18 -26n = -18 Divide each side by '-26'. n = 0.6923076923 Simplifying n = 0.6923076923
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