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Simplifying -1(4K + -7) + 7 = 6(k + -6) Reorder the terms: -1(-7 + 4K) + 7 = 6(k + -6) (-7 * -1 + 4K * -1) + 7 = 6(k + -6) (7 + -4K) + 7 = 6(k + -6) Reorder the terms: 7 + 7 + -4K = 6(k + -6) Combine like terms: 7 + 7 = 14 14 + -4K = 6(k + -6) Reorder the terms: 14 + -4K = 6(-6 + k) 14 + -4K = (-6 * 6 + k * 6) 14 + -4K = (-36 + 6k) Solving 14 + -4K = -36 + 6k Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -4K = -36 + -14 + 6k Combine like terms: 14 + -14 = 0 0 + -4K = -36 + -14 + 6k -4K = -36 + -14 + 6k Combine like terms: -36 + -14 = -50 -4K = -50 + 6k Divide each side by '-4'. K = 12.5 + -1.5k Simplifying K = 12.5 + -1.5k
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