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Simplifying 20(n + 8) = (40 + 5n) Reorder the terms: 20(8 + n) = (40 + 5n) (8 * 20 + n * 20) = (40 + 5n) (160 + 20n) = (40 + 5n) Remove parenthesis around (40 + 5n) 160 + 20n = 40 + 5n Solving 160 + 20n = 40 + 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. 160 + 20n + -5n = 40 + 5n + -5n Combine like terms: 20n + -5n = 15n 160 + 15n = 40 + 5n + -5n Combine like terms: 5n + -5n = 0 160 + 15n = 40 + 0 160 + 15n = 40 Add '-160' to each side of the equation. 160 + -160 + 15n = 40 + -160 Combine like terms: 160 + -160 = 0 0 + 15n = 40 + -160 15n = 40 + -160 Combine like terms: 40 + -160 = -120 15n = -120 Divide each side by '15'. n = -8 Simplifying n = -8
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