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Simplifying 7(2n + 2) = 8(5n + 4) + 5 Reorder the terms: 7(2 + 2n) = 8(5n + 4) + 5 (2 * 7 + 2n * 7) = 8(5n + 4) + 5 (14 + 14n) = 8(5n + 4) + 5 Reorder the terms: 14 + 14n = 8(4 + 5n) + 5 14 + 14n = (4 * 8 + 5n * 8) + 5 14 + 14n = (32 + 40n) + 5 Reorder the terms: 14 + 14n = 32 + 5 + 40n Combine like terms: 32 + 5 = 37 14 + 14n = 37 + 40n Solving 14 + 14n = 37 + 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. 14 + 14n + -40n = 37 + 40n + -40n Combine like terms: 14n + -40n = -26n 14 + -26n = 37 + 40n + -40n Combine like terms: 40n + -40n = 0 14 + -26n = 37 + 0 14 + -26n = 37 Add '-14' to each side of the equation. 14 + -14 + -26n = 37 + -14 Combine like terms: 14 + -14 = 0 0 + -26n = 37 + -14 -26n = 37 + -14 Combine like terms: 37 + -14 = 23 -26n = 23 Divide each side by '-26'. n = -0.8846153846 Simplifying n = -0.8846153846
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