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Simplifying (4n + 22) + (8n + -10) = 180 Reorder the terms: (22 + 4n) + (8n + -10) = 180 Remove parenthesis around (22 + 4n) 22 + 4n + (8n + -10) = 180 Reorder the terms: 22 + 4n + (-10 + 8n) = 180 Remove parenthesis around (-10 + 8n) 22 + 4n + -10 + 8n = 180 Reorder the terms: 22 + -10 + 4n + 8n = 180 Combine like terms: 22 + -10 = 12 12 + 4n + 8n = 180 Combine like terms: 4n + 8n = 12n 12 + 12n = 180 Solving 12 + 12n = 180 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 12n = 180 + -12 Combine like terms: 12 + -12 = 0 0 + 12n = 180 + -12 12n = 180 + -12 Combine like terms: 180 + -12 = 168 12n = 168 Divide each side by '12'. n = 14 Simplifying n = 14
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