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Simplifying (8k + 13) + -1(6K + 5) = 0 Reorder the terms: (13 + 8k) + -1(6K + 5) = 0 Remove parenthesis around (13 + 8k) 13 + 8k + -1(6K + 5) = 0 Reorder the terms: 13 + 8k + -1(5 + 6K) = 0 13 + 8k + (5 * -1 + 6K * -1) = 0 13 + 8k + (-5 + -6K) = 0 Reorder the terms: 13 + -5 + -6K + 8k = 0 Combine like terms: 13 + -5 = 8 8 + -6K + 8k = 0 Solving 8 + -6K + 8k = 0 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 + 8k = 0 + -8 Reorder the terms: 8 + -8 + -6K + 8k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -6K + 8k = 0 + -8 -6K + 8k = 0 + -8 Combine like terms: 0 + -8 = -8 -6K + 8k = -8 Add '-8k' to each side of the equation. -6K + 8k + -8k = -8 + -8k Combine like terms: 8k + -8k = 0 -6K + 0 = -8 + -8k -6K = -8 + -8k Divide each side by '-6'. K = 1.333333333 + 1.333333333k Simplifying K = 1.333333333 + 1.333333333k
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