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Simplifying 7(3n + -3) = (8n + 7) + 9 Reorder the terms: 7(-3 + 3n) = (8n + 7) + 9 (-3 * 7 + 3n * 7) = (8n + 7) + 9 (-21 + 21n) = (8n + 7) + 9 Reorder the terms: -21 + 21n = (7 + 8n) + 9 Remove parenthesis around (7 + 8n) -21 + 21n = 7 + 8n + 9 Reorder the terms: -21 + 21n = 7 + 9 + 8n Combine like terms: 7 + 9 = 16 -21 + 21n = 16 + 8n Solving -21 + 21n = 16 + 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. -21 + 21n + -8n = 16 + 8n + -8n Combine like terms: 21n + -8n = 13n -21 + 13n = 16 + 8n + -8n Combine like terms: 8n + -8n = 0 -21 + 13n = 16 + 0 -21 + 13n = 16 Add '21' to each side of the equation. -21 + 21 + 13n = 16 + 21 Combine like terms: -21 + 21 = 0 0 + 13n = 16 + 21 13n = 16 + 21 Combine like terms: 16 + 21 = 37 13n = 37 Divide each side by '13'. n = 2.846153846 Simplifying n = 2.846153846
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