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Simplifying 6(5n + 4) = -216 Reorder the terms: 6(4 + 5n) = -216 (4 * 6 + 5n * 6) = -216 (24 + 30n) = -216 Solving 24 + 30n = -216 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 30n = -216 + -24 Combine like terms: 24 + -24 = 0 0 + 30n = -216 + -24 30n = -216 + -24 Combine like terms: -216 + -24 = -240 30n = -240 Divide each side by '30'. n = -8 Simplifying n = -8
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