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Simplifying 3(4K + 14) = 10k + -2(1k + -7) Reorder the terms: 3(14 + 4K) = 10k + -2(1k + -7) (14 * 3 + 4K * 3) = 10k + -2(1k + -7) (42 + 12K) = 10k + -2(1k + -7) Reorder the terms: 42 + 12K = 10k + -2(-7 + 1k) 42 + 12K = 10k + (-7 * -2 + 1k * -2) 42 + 12K = 10k + (14 + -2k) Reorder the terms: 42 + 12K = 14 + 10k + -2k Combine like terms: 10k + -2k = 8k 42 + 12K = 14 + 8k Solving 42 + 12K = 14 + 8k Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 12K = 14 + -42 + 8k Combine like terms: 42 + -42 = 0 0 + 12K = 14 + -42 + 8k 12K = 14 + -42 + 8k Combine like terms: 14 + -42 = -28 12K = -28 + 8k Divide each side by '12'. K = -2.333333333 + 0.6666666667k Simplifying K = -2.333333333 + 0.6666666667k
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