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Simplifying 8k + -1(5k + -19) = 0 Reorder the terms: 8k + -1(-19 + 5k) = 0 8k + (-19 * -1 + 5k * -1) = 0 8k + (19 + -5k) = 0 Reorder the terms: 19 + 8k + -5k = 0 Combine like terms: 8k + -5k = 3k 19 + 3k = 0 Solving 19 + 3k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 3k = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 3k = 0 + -19 3k = 0 + -19 Combine like terms: 0 + -19 = -19 3k = -19 Divide each side by '3'. k = -6.333333333 Simplifying k = -6.333333333
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