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Simplifying 5(K + -2) + -8K = (-34) Reorder the terms: 5(-2 + K) + -8K = (-34) (-2 * 5 + K * 5) + -8K = (-34) (-10 + 5K) + -8K = (-34) Combine like terms: 5K + -8K = -3K -10 + -3K = (-34) -10 + -3K = -34 Solving -10 + -3K = -34 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -3K = -34 + 10 Combine like terms: -10 + 10 = 0 0 + -3K = -34 + 10 -3K = -34 + 10 Combine like terms: -34 + 10 = -24 -3K = -24 Divide each side by '-3'. K = 8 Simplifying K = 8
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