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Simplifying -4k + 5(3 + -9k) = 0 -4k + (3 * 5 + -9k * 5) = 0 -4k + (15 + -45k) = 0 Reorder the terms: 15 + -4k + -45k = 0 Combine like terms: -4k + -45k = -49k 15 + -49k = 0 Solving 15 + -49k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -49k = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -49k = 0 + -15 -49k = 0 + -15 Combine like terms: 0 + -15 = -15 -49k = -15 Divide each side by '-49'. k = 0.306122449 Simplifying k = 0.306122449
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