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Simplifying 4(k + 2) + -8K + -5 = -3k + 9 + -2(k + 6) Reorder the terms: 4(2 + k) + -8K + -5 = -3k + 9 + -2(k + 6) (2 * 4 + k * 4) + -8K + -5 = -3k + 9 + -2(k + 6) (8 + 4k) + -8K + -5 = -3k + 9 + -2(k + 6) Reorder the terms: 8 + -5 + -8K + 4k = -3k + 9 + -2(k + 6) Combine like terms: 8 + -5 = 3 3 + -8K + 4k = -3k + 9 + -2(k + 6) Reorder the terms: 3 + -8K + 4k = -3k + 9 + -2(6 + k) 3 + -8K + 4k = -3k + 9 + (6 * -2 + k * -2) 3 + -8K + 4k = -3k + 9 + (-12 + -2k) Reorder the terms: 3 + -8K + 4k = 9 + -12 + -3k + -2k Combine like terms: 9 + -12 = -3 3 + -8K + 4k = -3 + -3k + -2k Combine like terms: -3k + -2k = -5k 3 + -8K + 4k = -3 + -5k Solving 3 + -8K + 4k = -3 + -5k Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -8K + -3 + 4k = -3 + -3 + -5k Reorder the terms: 3 + -3 + -8K + 4k = -3 + -3 + -5k Combine like terms: 3 + -3 = 0 0 + -8K + 4k = -3 + -3 + -5k -8K + 4k = -3 + -3 + -5k Combine like terms: -3 + -3 = -6 -8K + 4k = -6 + -5k Add '-4k' to each side of the equation. -8K + 4k + -4k = -6 + -5k + -4k Combine like terms: 4k + -4k = 0 -8K + 0 = -6 + -5k + -4k -8K = -6 + -5k + -4k Combine like terms: -5k + -4k = -9k -8K = -6 + -9k Divide each side by '-8'. K = 0.75 + 1.125k Simplifying K = 0.75 + 1.125k
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