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Simplifying 7(3n + -1) = (8n + 5) + 2 Reorder the terms: 7(-1 + 3n) = (8n + 5) + 2 (-1 * 7 + 3n * 7) = (8n + 5) + 2 (-7 + 21n) = (8n + 5) + 2 Reorder the terms: -7 + 21n = (5 + 8n) + 2 Remove parenthesis around (5 + 8n) -7 + 21n = 5 + 8n + 2 Reorder the terms: -7 + 21n = 5 + 2 + 8n Combine like terms: 5 + 2 = 7 -7 + 21n = 7 + 8n Solving -7 + 21n = 7 + 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. -7 + 21n + -8n = 7 + 8n + -8n Combine like terms: 21n + -8n = 13n -7 + 13n = 7 + 8n + -8n Combine like terms: 8n + -8n = 0 -7 + 13n = 7 + 0 -7 + 13n = 7 Add '7' to each side of the equation. -7 + 7 + 13n = 7 + 7 Combine like terms: -7 + 7 = 0 0 + 13n = 7 + 7 13n = 7 + 7 Combine like terms: 7 + 7 = 14 13n = 14 Divide each side by '13'. n = 1.076923077 Simplifying n = 1.076923077
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