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Simplifying 7(3n + -5) = (8n + 1) + 7 Reorder the terms: 7(-5 + 3n) = (8n + 1) + 7 (-5 * 7 + 3n * 7) = (8n + 1) + 7 (-35 + 21n) = (8n + 1) + 7 Reorder the terms: -35 + 21n = (1 + 8n) + 7 Remove parenthesis around (1 + 8n) -35 + 21n = 1 + 8n + 7 Reorder the terms: -35 + 21n = 1 + 7 + 8n Combine like terms: 1 + 7 = 8 -35 + 21n = 8 + 8n Solving -35 + 21n = 8 + 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. -35 + 21n + -8n = 8 + 8n + -8n Combine like terms: 21n + -8n = 13n -35 + 13n = 8 + 8n + -8n Combine like terms: 8n + -8n = 0 -35 + 13n = 8 + 0 -35 + 13n = 8 Add '35' to each side of the equation. -35 + 35 + 13n = 8 + 35 Combine like terms: -35 + 35 = 0 0 + 13n = 8 + 35 13n = 8 + 35 Combine like terms: 8 + 35 = 43 13n = 43 Divide each side by '13'. n = 3.307692308 Simplifying n = 3.307692308
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