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Simplifying 8k + -1(5 + 9k) = 0 8k + (5 * -1 + 9k * -1) = 0 8k + (-5 + -9k) = 0 Reorder the terms: -5 + 8k + -9k = 0 Combine like terms: 8k + -9k = -1k -5 + -1k = 0 Solving -5 + -1k = 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 + -1k = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1k = 0 + 5 -1k = 0 + 5 Combine like terms: 0 + 5 = 5 -1k = 5 Divide each side by '-1'. k = -5 Simplifying k = -5
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