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Simplifying -8 + 4(2n + -3) + 5n = 0 Reorder the terms: -8 + 4(-3 + 2n) + 5n = 0 -8 + (-3 * 4 + 2n * 4) + 5n = 0 -8 + (-12 + 8n) + 5n = 0 Combine like terms: -8 + -12 = -20 -20 + 8n + 5n = 0 Combine like terms: 8n + 5n = 13n -20 + 13n = 0 Solving -20 + 13n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 13n = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 13n = 0 + 20 13n = 0 + 20 Combine like terms: 0 + 20 = 20 13n = 20 Divide each side by '13'. n = 1.538461538 Simplifying n = 1.538461538
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