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Simplifying 9k + -1(4k + -19) = 0 Reorder the terms: 9k + -1(-19 + 4k) = 0 9k + (-19 * -1 + 4k * -1) = 0 9k + (19 + -4k) = 0 Reorder the terms: 19 + 9k + -4k = 0 Combine like terms: 9k + -4k = 5k 19 + 5k = 0 Solving 19 + 5k = 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 + 5k = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 5k = 0 + -19 5k = 0 + -19 Combine like terms: 0 + -19 = -19 5k = -19 Divide each side by '5'. k = -3.8 Simplifying k = -3.8
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