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Simplifying 165 = 5(1 + 4n) 165 = (1 * 5 + 4n * 5) 165 = (5 + 20n) Solving 165 = 5 + 20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20n' to each side of the equation. 165 + -20n = 5 + 20n + -20n Combine like terms: 20n + -20n = 0 165 + -20n = 5 + 0 165 + -20n = 5 Add '-165' to each side of the equation. 165 + -165 + -20n = 5 + -165 Combine like terms: 165 + -165 = 0 0 + -20n = 5 + -165 -20n = 5 + -165 Combine like terms: 5 + -165 = -160 -20n = -160 Divide each side by '-20'. n = 8 Simplifying n = 8
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