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Simplifying 7 = 4K + -1(2k + -1) Reorder the terms: 7 = 4K + -1(-1 + 2k) 7 = 4K + (-1 * -1 + 2k * -1) 7 = 4K + (1 + -2k) Reorder the terms: 7 = 1 + 4K + -2k Solving 7 = 1 + 4K + -2k Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-4K' to each side of the equation. 7 + -4K = 1 + 4K + -4K + -2k Combine like terms: 4K + -4K = 0 7 + -4K = 1 + 0 + -2k 7 + -4K = 1 + -2k Add '-7' to each side of the equation. 7 + -7 + -4K = 1 + -7 + -2k Combine like terms: 7 + -7 = 0 0 + -4K = 1 + -7 + -2k -4K = 1 + -7 + -2k Combine like terms: 1 + -7 = -6 -4K = -6 + -2k Divide each side by '-4'. K = 1.5 + 0.5k Simplifying K = 1.5 + 0.5k
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