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Simplifying -4K + -4(k + 5) = -4(2k + -4) + 4k Reorder the terms: -4K + -4(5 + k) = -4(2k + -4) + 4k -4K + (5 * -4 + k * -4) = -4(2k + -4) + 4k -4K + (-20 + -4k) = -4(2k + -4) + 4k Reorder the terms: -20 + -4K + -4k = -4(2k + -4) + 4k Reorder the terms: -20 + -4K + -4k = -4(-4 + 2k) + 4k -20 + -4K + -4k = (-4 * -4 + 2k * -4) + 4k -20 + -4K + -4k = (16 + -8k) + 4k Combine like terms: -8k + 4k = -4k -20 + -4K + -4k = 16 + -4k Add '4k' to each side of the equation. -20 + -4K + -4k + 4k = 16 + -4k + 4k Combine like terms: -4k + 4k = 0 -20 + -4K + 0 = 16 + -4k + 4k -20 + -4K = 16 + -4k + 4k Combine like terms: -4k + 4k = 0 -20 + -4K = 16 + 0 -20 + -4K = 16 Solving -20 + -4K = 16 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -4K = 16 + 20 Combine like terms: -20 + 20 = 0 0 + -4K = 16 + 20 -4K = 16 + 20 Combine like terms: 16 + 20 = 36 -4K = 36 Divide each side by '-4'. K = -9 Simplifying K = -9
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