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Simplifying 5(2n + 5) = 6(5n + 1) + 6 Reorder the terms: 5(5 + 2n) = 6(5n + 1) + 6 (5 * 5 + 2n * 5) = 6(5n + 1) + 6 (25 + 10n) = 6(5n + 1) + 6 Reorder the terms: 25 + 10n = 6(1 + 5n) + 6 25 + 10n = (1 * 6 + 5n * 6) + 6 25 + 10n = (6 + 30n) + 6 Reorder the terms: 25 + 10n = 6 + 6 + 30n Combine like terms: 6 + 6 = 12 25 + 10n = 12 + 30n Solving 25 + 10n = 12 + 30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30n' to each side of the equation. 25 + 10n + -30n = 12 + 30n + -30n Combine like terms: 10n + -30n = -20n 25 + -20n = 12 + 30n + -30n Combine like terms: 30n + -30n = 0 25 + -20n = 12 + 0 25 + -20n = 12 Add '-25' to each side of the equation. 25 + -25 + -20n = 12 + -25 Combine like terms: 25 + -25 = 0 0 + -20n = 12 + -25 -20n = 12 + -25 Combine like terms: 12 + -25 = -13 -20n = -13 Divide each side by '-20'. n = 0.65 Simplifying n = 0.65
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