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Simplifying 9k + 7(-2 + -5k) = 0 9k + (-2 * 7 + -5k * 7) = 0 9k + (-14 + -35k) = 0 Reorder the terms: -14 + 9k + -35k = 0 Combine like terms: 9k + -35k = -26k -14 + -26k = 0 Solving -14 + -26k = 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 + -26k = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -26k = 0 + 14 -26k = 0 + 14 Combine like terms: 0 + 14 = 14 -26k = 14 Divide each side by '-26'. k = -0.5384615385 Simplifying k = -0.5384615385
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