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Simplifying 2(5 + -3n) + 8 = 4 + 5n (5 * 2 + -3n * 2) + 8 = 4 + 5n (10 + -6n) + 8 = 4 + 5n Reorder the terms: 10 + 8 + -6n = 4 + 5n Combine like terms: 10 + 8 = 18 18 + -6n = 4 + 5n Solving 18 + -6n = 4 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 18 + -6n + -5n = 4 + 5n + -5n Combine like terms: -6n + -5n = -11n 18 + -11n = 4 + 5n + -5n Combine like terms: 5n + -5n = 0 18 + -11n = 4 + 0 18 + -11n = 4 Add '-18' to each side of the equation. 18 + -18 + -11n = 4 + -18 Combine like terms: 18 + -18 = 0 0 + -11n = 4 + -18 -11n = 4 + -18 Combine like terms: 4 + -18 = -14 -11n = -14 Divide each side by '-11'. n = 1.272727273 Simplifying n = 1.272727273
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