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