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Simplifying 167 = n + 4(5 + 5n) 167 = n + (5 * 4 + 5n * 4) 167 = n + (20 + 20n) Reorder the terms: 167 = 20 + n + 20n Combine like terms: n + 20n = 21n 167 = 20 + 21n Solving 167 = 20 + 21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-21n' to each side of the equation. 167 + -21n = 20 + 21n + -21n Combine like terms: 21n + -21n = 0 167 + -21n = 20 + 0 167 + -21n = 20 Add '-167' to each side of the equation. 167 + -167 + -21n = 20 + -167 Combine like terms: 167 + -167 = 0 0 + -21n = 20 + -167 -21n = 20 + -167 Combine like terms: 20 + -167 = -147 -21n = -147 Divide each side by '-21'. n = 7 Simplifying n = 7
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