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Simplifying 5k + 6 + -6K + 2 = 1 Reorder the terms: 6 + 2 + -6K + 5k = 1 Combine like terms: 6 + 2 = 8 8 + -6K + 5k = 1 Solving 8 + -6K + 5k = 1 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -6K + -8 + 5k = 1 + -8 Reorder the terms: 8 + -8 + -6K + 5k = 1 + -8 Combine like terms: 8 + -8 = 0 0 + -6K + 5k = 1 + -8 -6K + 5k = 1 + -8 Combine like terms: 1 + -8 = -7 -6K + 5k = -7 Add '-5k' to each side of the equation. -6K + 5k + -5k = -7 + -5k Combine like terms: 5k + -5k = 0 -6K + 0 = -7 + -5k -6K = -7 + -5k Divide each side by '-6'. K = 1.166666667 + 0.8333333333k Simplifying K = 1.166666667 + 0.8333333333k
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