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Simplifying 4(k + 2) + -8K + -5 = -3k + 9 + -2 Reorder the terms: 4(2 + k) + -8K + -5 = -3k + 9 + -2 (2 * 4 + k * 4) + -8K + -5 = -3k + 9 + -2 (8 + 4k) + -8K + -5 = -3k + 9 + -2 Reorder the terms: 8 + -5 + -8K + 4k = -3k + 9 + -2 Combine like terms: 8 + -5 = 3 3 + -8K + 4k = -3k + 9 + -2 Reorder the terms: 3 + -8K + 4k = 9 + -2 + -3k Combine like terms: 9 + -2 = 7 3 + -8K + 4k = 7 + -3k Solving 3 + -8K + 4k = 7 + -3k 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 = 7 + -3 + -3k Reorder the terms: 3 + -3 + -8K + 4k = 7 + -3 + -3k Combine like terms: 3 + -3 = 0 0 + -8K + 4k = 7 + -3 + -3k -8K + 4k = 7 + -3 + -3k Combine like terms: 7 + -3 = 4 -8K + 4k = 4 + -3k Add '-4k' to each side of the equation. -8K + 4k + -4k = 4 + -3k + -4k Combine like terms: 4k + -4k = 0 -8K + 0 = 4 + -3k + -4k -8K = 4 + -3k + -4k Combine like terms: -3k + -4k = -7k -8K = 4 + -7k Divide each side by '-8'. K = -0.5 + 0.875k Simplifying K = -0.5 + 0.875k
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