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Simplifying 5(2n + 5) = 8(5n + 7) + 6 Reorder the terms: 5(5 + 2n) = 8(5n + 7) + 6 (5 * 5 + 2n * 5) = 8(5n + 7) + 6 (25 + 10n) = 8(5n + 7) + 6 Reorder the terms: 25 + 10n = 8(7 + 5n) + 6 25 + 10n = (7 * 8 + 5n * 8) + 6 25 + 10n = (56 + 40n) + 6 Reorder the terms: 25 + 10n = 56 + 6 + 40n Combine like terms: 56 + 6 = 62 25 + 10n = 62 + 40n Solving 25 + 10n = 62 + 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. 25 + 10n + -40n = 62 + 40n + -40n Combine like terms: 10n + -40n = -30n 25 + -30n = 62 + 40n + -40n Combine like terms: 40n + -40n = 0 25 + -30n = 62 + 0 25 + -30n = 62 Add '-25' to each side of the equation. 25 + -25 + -30n = 62 + -25 Combine like terms: 25 + -25 = 0 0 + -30n = 62 + -25 -30n = 62 + -25 Combine like terms: 62 + -25 = 37 -30n = 37 Divide each side by '-30'. n = -1.233333333 Simplifying n = -1.233333333
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