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Simplifying 370 = -4K + 6(1 + -8k) 370 = -4K + (1 * 6 + -8k * 6) 370 = -4K + (6 + -48k) Reorder the terms: 370 = 6 + -4K + -48k Solving 370 = 6 + -4K + -48k Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '4K' to each side of the equation. 370 + 4K = 6 + -4K + 4K + -48k Combine like terms: -4K + 4K = 0 370 + 4K = 6 + 0 + -48k 370 + 4K = 6 + -48k Add '-370' to each side of the equation. 370 + -370 + 4K = 6 + -370 + -48k Combine like terms: 370 + -370 = 0 0 + 4K = 6 + -370 + -48k 4K = 6 + -370 + -48k Combine like terms: 6 + -370 = -364 4K = -364 + -48k Divide each side by '4'. K = -91 + -12k Simplifying K = -91 + -12k
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