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Simplifying K + 10k + -6 = 4(8 + -2k) Reorder the terms: -6 + K + 10k = 4(8 + -2k) -6 + K + 10k = (8 * 4 + -2k * 4) -6 + K + 10k = (32 + -8k) Solving -6 + K + 10k = 32 + -8k Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '6' to each side of the equation. -6 + K + 6 + 10k = 32 + 6 + -8k Reorder the terms: -6 + 6 + K + 10k = 32 + 6 + -8k Combine like terms: -6 + 6 = 0 0 + K + 10k = 32 + 6 + -8k K + 10k = 32 + 6 + -8k Combine like terms: 32 + 6 = 38 K + 10k = 38 + -8k Add '-10k' to each side of the equation. K + 10k + -10k = 38 + -8k + -10k Combine like terms: 10k + -10k = 0 K + 0 = 38 + -8k + -10k K = 38 + -8k + -10k Combine like terms: -8k + -10k = -18k K = 38 + -18k Simplifying K = 38 + -18k
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