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Simplifying -10(-9z + -9 + 4k) = 0 Reorder the terms: -10(-9 + 4k + -9z) = 0 (-9 * -10 + 4k * -10 + -9z * -10) = 0 (90 + -40k + 90z) = 0 Solving 90 + -40k + 90z = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -40k + -90 + 90z = 0 + -90 Reorder the terms: 90 + -90 + -40k + 90z = 0 + -90 Combine like terms: 90 + -90 = 0 0 + -40k + 90z = 0 + -90 -40k + 90z = 0 + -90 Combine like terms: 0 + -90 = -90 -40k + 90z = -90 Add '-90z' to each side of the equation. -40k + 90z + -90z = -90 + -90z Combine like terms: 90z + -90z = 0 -40k + 0 = -90 + -90z -40k = -90 + -90z Divide each side by '-40'. k = 2.25 + 2.25z Simplifying k = 2.25 + 2.25z
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