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Simplifying 2(4 + 3K) + 7 = -1 + 2k (4 * 2 + 3K * 2) + 7 = -1 + 2k (8 + 6K) + 7 = -1 + 2k Reorder the terms: 8 + 7 + 6K = -1 + 2k Combine like terms: 8 + 7 = 15 15 + 6K = -1 + 2k Solving 15 + 6K = -1 + 2k Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 6K = -1 + -15 + 2k Combine like terms: 15 + -15 = 0 0 + 6K = -1 + -15 + 2k 6K = -1 + -15 + 2k Combine like terms: -1 + -15 = -16 6K = -16 + 2k Divide each side by '6'. K = -2.666666667 + 0.3333333333k Simplifying K = -2.666666667 + 0.3333333333k
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