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Simplifying tx(5 + 4k) = 9s (5 * tx + 4k * tx) = 9s Reorder the terms: (4ktx + 5tx) = 9s (4ktx + 5tx) = 9s Solving 4ktx + 5tx = 9s Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5tx' to each side of the equation. 4ktx + 5tx + -5tx = 9s + -5tx Combine like terms: 5tx + -5tx = 0 4ktx + 0 = 9s + -5tx 4ktx = 9s + -5tx Divide each side by '4tx'. k = 2.25st-1x-1 + -1.25 Simplifying k = 2.25st-1x-1 + -1.25 Reorder the terms: k = -1.25 + 2.25st-1x-1
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