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Simplifying 5(n + 2) = 1.66(5 + 10n) Reorder the terms: 5(2 + n) = 1.66(5 + 10n) (2 * 5 + n * 5) = 1.66(5 + 10n) (10 + 5n) = 1.66(5 + 10n) 10 + 5n = (5 * 1.66 + 10n * 1.66) 10 + 5n = (8.3 + 16.6n) Solving 10 + 5n = 8.3 + 16.6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16.6n' to each side of the equation. 10 + 5n + -16.6n = 8.3 + 16.6n + -16.6n Combine like terms: 5n + -16.6n = -11.6n 10 + -11.6n = 8.3 + 16.6n + -16.6n Combine like terms: 16.6n + -16.6n = 0.0 10 + -11.6n = 8.3 + 0.0 10 + -11.6n = 8.3 Add '-10' to each side of the equation. 10 + -10 + -11.6n = 8.3 + -10 Combine like terms: 10 + -10 = 0 0 + -11.6n = 8.3 + -10 -11.6n = 8.3 + -10 Combine like terms: 8.3 + -10 = -1.7 -11.6n = -1.7 Divide each side by '-11.6'. n = 0.1465517241 Simplifying n = 0.1465517241
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