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Simplifying 2(k + 5) + 2 = 2K + -4(2k + -5) Reorder the terms: 2(5 + k) + 2 = 2K + -4(2k + -5) (5 * 2 + k * 2) + 2 = 2K + -4(2k + -5) (10 + 2k) + 2 = 2K + -4(2k + -5) Reorder the terms: 10 + 2 + 2k = 2K + -4(2k + -5) Combine like terms: 10 + 2 = 12 12 + 2k = 2K + -4(2k + -5) Reorder the terms: 12 + 2k = 2K + -4(-5 + 2k) 12 + 2k = 2K + (-5 * -4 + 2k * -4) 12 + 2k = 2K + (20 + -8k) Reorder the terms: 12 + 2k = 20 + 2K + -8k Solving 12 + 2k = 20 + 2K + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. 12 + 2k + 8k = 20 + 2K + -8k + 8k Combine like terms: 2k + 8k = 10k 12 + 10k = 20 + 2K + -8k + 8k Combine like terms: -8k + 8k = 0 12 + 10k = 20 + 2K + 0 12 + 10k = 20 + 2K Add '-12' to each side of the equation. 12 + -12 + 10k = 20 + -12 + 2K Combine like terms: 12 + -12 = 0 0 + 10k = 20 + -12 + 2K 10k = 20 + -12 + 2K Combine like terms: 20 + -12 = 8 10k = 8 + 2K Divide each side by '10'. k = 0.8 + 0.2K Simplifying k = 0.8 + 0.2K
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