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Simplifying 0.5(8n + 20) = 5n + -80 + n Reorder the terms: 0.5(20 + 8n) = 5n + -80 + n (20 * 0.5 + 8n * 0.5) = 5n + -80 + n (10 + 4n) = 5n + -80 + n Reorder the terms: 10 + 4n = -80 + 5n + n Combine like terms: 5n + n = 6n 10 + 4n = -80 + 6n Solving 10 + 4n = -80 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 10 + 4n + -6n = -80 + 6n + -6n Combine like terms: 4n + -6n = -2n 10 + -2n = -80 + 6n + -6n Combine like terms: 6n + -6n = 0 10 + -2n = -80 + 0 10 + -2n = -80 Add '-10' to each side of the equation. 10 + -10 + -2n = -80 + -10 Combine like terms: 10 + -10 = 0 0 + -2n = -80 + -10 -2n = -80 + -10 Combine like terms: -80 + -10 = -90 -2n = -90 Divide each side by '-2'. n = 45 Simplifying n = 45
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