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Simplifying -4K + 2(5k + -6) = A + -3k + -39 Reorder the terms: -4K + 2(-6 + 5k) = A + -3k + -39 -4K + (-6 * 2 + 5k * 2) = A + -3k + -39 -4K + (-12 + 10k) = A + -3k + -39 Reorder the terms: -12 + -4K + 10k = A + -3k + -39 Reorder the terms: -12 + -4K + 10k = -39 + A + -3k Solving -12 + -4K + 10k = -39 + A + -3k 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 + -4K + 12 + 10k = -39 + A + 12 + -3k Reorder the terms: -12 + 12 + -4K + 10k = -39 + A + 12 + -3k Combine like terms: -12 + 12 = 0 0 + -4K + 10k = -39 + A + 12 + -3k -4K + 10k = -39 + A + 12 + -3k Reorder the terms: -4K + 10k = -39 + 12 + A + -3k Combine like terms: -39 + 12 = -27 -4K + 10k = -27 + A + -3k Add '-10k' to each side of the equation. -4K + 10k + -10k = -27 + A + -3k + -10k Combine like terms: 10k + -10k = 0 -4K + 0 = -27 + A + -3k + -10k -4K = -27 + A + -3k + -10k Combine like terms: -3k + -10k = -13k -4K = -27 + A + -13k Divide each side by '-4'. K = 6.75 + -0.25A + 3.25k Simplifying K = 6.75 + -0.25A + 3.25k
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