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Simplifying 6(4p + 2(p + 5k) + k) = n Reorder the terms: 6(4p + 2(5k + p) + k) = n 6(4p + (5k * 2 + p * 2) + k) = n 6(4p + (10k + 2p) + k) = n Reorder the terms: 6(10k + k + 4p + 2p) = n Combine like terms: 10k + k = 11k 6(11k + 4p + 2p) = n Combine like terms: 4p + 2p = 6p 6(11k + 6p) = n (11k * 6 + 6p * 6) = n (66k + 36p) = n Solving 66k + 36p = n Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-36p' to each side of the equation. 66k + 36p + -36p = n + -36p Combine like terms: 36p + -36p = 0 66k + 0 = n + -36p 66k = n + -36p Divide each side by '66'. k = 0.01515151515n + -0.5454545455p Simplifying k = 0.01515151515n + -0.5454545455p
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