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