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Simplifying (7 + 6n) + (-2 + -4n) = (3 + 8n) Remove parenthesis around (7 + 6n) 7 + 6n + (-2 + -4n) = (3 + 8n) Remove parenthesis around (-2 + -4n) 7 + 6n + -2 + -4n = (3 + 8n) Reorder the terms: 7 + -2 + 6n + -4n = (3 + 8n) Combine like terms: 7 + -2 = 5 5 + 6n + -4n = (3 + 8n) Combine like terms: 6n + -4n = 2n 5 + 2n = (3 + 8n) Remove parenthesis around (3 + 8n) 5 + 2n = 3 + 8n Solving 5 + 2n = 3 + 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. 5 + 2n + -8n = 3 + 8n + -8n Combine like terms: 2n + -8n = -6n 5 + -6n = 3 + 8n + -8n Combine like terms: 8n + -8n = 0 5 + -6n = 3 + 0 5 + -6n = 3 Add '-5' to each side of the equation. 5 + -5 + -6n = 3 + -5 Combine like terms: 5 + -5 = 0 0 + -6n = 3 + -5 -6n = 3 + -5 Combine like terms: 3 + -5 = -2 -6n = -2 Divide each side by '-6'. n = 0.3333333333 Simplifying n = 0.3333333333
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