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Simplifying 5 + -1(6 + -5K) = 17K + -26 5 + (6 * -1 + -5K * -1) = 17K + -26 5 + (-6 + 5K) = 17K + -26 Combine like terms: 5 + -6 = -1 -1 + 5K = 17K + -26 Reorder the terms: -1 + 5K = -26 + 17K Solving -1 + 5K = -26 + 17K Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-17K' to each side of the equation. -1 + 5K + -17K = -26 + 17K + -17K Combine like terms: 5K + -17K = -12K -1 + -12K = -26 + 17K + -17K Combine like terms: 17K + -17K = 0 -1 + -12K = -26 + 0 -1 + -12K = -26 Add '1' to each side of the equation. -1 + 1 + -12K = -26 + 1 Combine like terms: -1 + 1 = 0 0 + -12K = -26 + 1 -12K = -26 + 1 Combine like terms: -26 + 1 = -25 -12K = -25 Divide each side by '-12'. K = 2.083333333 Simplifying K = 2.083333333
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