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Simplifying -7(-3n + -20) = 17 + 8n + 14 Reorder the terms: -7(-20 + -3n) = 17 + 8n + 14 (-20 * -7 + -3n * -7) = 17 + 8n + 14 (140 + 21n) = 17 + 8n + 14 Reorder the terms: 140 + 21n = 17 + 14 + 8n Combine like terms: 17 + 14 = 31 140 + 21n = 31 + 8n Solving 140 + 21n = 31 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 140 + 21n + -8n = 31 + 8n + -8n Combine like terms: 21n + -8n = 13n 140 + 13n = 31 + 8n + -8n Combine like terms: 8n + -8n = 0 140 + 13n = 31 + 0 140 + 13n = 31 Add '-140' to each side of the equation. 140 + -140 + 13n = 31 + -140 Combine like terms: 140 + -140 = 0 0 + 13n = 31 + -140 13n = 31 + -140 Combine like terms: 31 + -140 = -109 13n = -109 Divide each side by '13'. n = -8.384615385 Simplifying n = -8.384615385
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