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Simplifying 5n = 20(4 + 25n) + -3 5n = (4 * 20 + 25n * 20) + -3 5n = (80 + 500n) + -3 Reorder the terms: 5n = 80 + -3 + 500n Combine like terms: 80 + -3 = 77 5n = 77 + 500n Solving 5n = 77 + 500n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-500n' to each side of the equation. 5n + -500n = 77 + 500n + -500n Combine like terms: 5n + -500n = -495n -495n = 77 + 500n + -500n Combine like terms: 500n + -500n = 0 -495n = 77 + 0 -495n = 77 Divide each side by '-495'. n = -0.1555555556 Simplifying n = -0.1555555556
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