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Simplifying 9k + -1(5k + -14) = 0 Reorder the terms: 9k + -1(-14 + 5k) = 0 9k + (-14 * -1 + 5k * -1) = 0 9k + (14 + -5k) = 0 Reorder the terms: 14 + 9k + -5k = 0 Combine like terms: 9k + -5k = 4k 14 + 4k = 0 Solving 14 + 4k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 4k = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 4k = 0 + -14 4k = 0 + -14 Combine like terms: 0 + -14 = -14 4k = -14 Divide each side by '4'. k = -3.5 Simplifying k = -3.5
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