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Simplifying 84 = 4(1 + 5n) 84 = (1 * 4 + 5n * 4) 84 = (4 + 20n) Solving 84 = 4 + 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. 84 + -20n = 4 + 20n + -20n Combine like terms: 20n + -20n = 0 84 + -20n = 4 + 0 84 + -20n = 4 Add '-84' to each side of the equation. 84 + -84 + -20n = 4 + -84 Combine like terms: 84 + -84 = 0 0 + -20n = 4 + -84 -20n = 4 + -84 Combine like terms: 4 + -84 = -80 -20n = -80 Divide each side by '-20'. n = 4 Simplifying n = 4
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