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Simplifying 5(n + 5) = 1.6(5 + 10n) Reorder the terms: 5(5 + n) = 1.6(5 + 10n) (5 * 5 + n * 5) = 1.6(5 + 10n) (25 + 5n) = 1.6(5 + 10n) 25 + 5n = (5 * 1.6 + 10n * 1.6) 25 + 5n = (8 + 16n) Solving 25 + 5n = 8 + 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. 25 + 5n + -16n = 8 + 16n + -16n Combine like terms: 5n + -16n = -11n 25 + -11n = 8 + 16n + -16n Combine like terms: 16n + -16n = 0 25 + -11n = 8 + 0 25 + -11n = 8 Add '-25' to each side of the equation. 25 + -25 + -11n = 8 + -25 Combine like terms: 25 + -25 = 0 0 + -11n = 8 + -25 -11n = 8 + -25 Combine like terms: 8 + -25 = -17 -11n = -17 Divide each side by '-11'. n = 1.545454545 Simplifying n = 1.545454545
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