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Simplifying 8000(x + 0.02) + 2000n = 578 Reorder the terms: 8000(0.02 + x) + 2000n = 578 (0.02 * 8000 + x * 8000) + 2000n = 578 (160 + 8000x) + 2000n = 578 Reorder the terms: 160 + 2000n + 8000x = 578 Solving 160 + 2000n + 8000x = 578 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-160' to each side of the equation. 160 + 2000n + -160 + 8000x = 578 + -160 Reorder the terms: 160 + -160 + 2000n + 8000x = 578 + -160 Combine like terms: 160 + -160 = 0 0 + 2000n + 8000x = 578 + -160 2000n + 8000x = 578 + -160 Combine like terms: 578 + -160 = 418 2000n + 8000x = 418 Add '-8000x' to each side of the equation. 2000n + 8000x + -8000x = 418 + -8000x Combine like terms: 8000x + -8000x = 0 2000n + 0 = 418 + -8000x 2000n = 418 + -8000x Divide each side by '2000'. n = 0.209 + -4x Simplifying n = 0.209 + -4x
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