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Simplifying 6(5k + 2) = 252 Reorder the terms: 6(2 + 5k) = 252 (2 * 6 + 5k * 6) = 252 (12 + 30k) = 252 Solving 12 + 30k = 252 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 30k = 252 + -12 Combine like terms: 12 + -12 = 0 0 + 30k = 252 + -12 30k = 252 + -12 Combine like terms: 252 + -12 = 240 30k = 240 Divide each side by '30'. k = 8 Simplifying k = 8
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