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Simplifying -7(4K + 7) = 38 + k Reorder the terms: -7(7 + 4K) = 38 + k (7 * -7 + 4K * -7) = 38 + k (-49 + -28K) = 38 + k Solving -49 + -28K = 38 + k Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + -28K = 38 + 49 + k Combine like terms: -49 + 49 = 0 0 + -28K = 38 + 49 + k -28K = 38 + 49 + k Combine like terms: 38 + 49 = 87 -28K = 87 + k Divide each side by '-28'. K = -3.107142857 + -0.03571428571k Simplifying K = -3.107142857 + -0.03571428571k
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