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Simplifying 216 = 6(1 + 5n) 216 = (1 * 6 + 5n * 6) 216 = (6 + 30n) Solving 216 = 6 + 30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30n' to each side of the equation. 216 + -30n = 6 + 30n + -30n Combine like terms: 30n + -30n = 0 216 + -30n = 6 + 0 216 + -30n = 6 Add '-216' to each side of the equation. 216 + -216 + -30n = 6 + -216 Combine like terms: 216 + -216 = 0 0 + -30n = 6 + -216 -30n = 6 + -216 Combine like terms: 6 + -216 = -210 -30n = -210 Divide each side by '-30'. n = 7 Simplifying n = 7
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