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Simplifying 4(2n + -8) + 5n = 0 Reorder the terms: 4(-8 + 2n) + 5n = 0 (-8 * 4 + 2n * 4) + 5n = 0 (-32 + 8n) + 5n = 0 Combine like terms: 8n + 5n = 13n -32 + 13n = 0 Solving -32 + 13n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 13n = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 13n = 0 + 32 13n = 0 + 32 Combine like terms: 0 + 32 = 32 13n = 32 Divide each side by '13'. n = 2.461538462 Simplifying n = 2.461538462
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