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Simplifying 500 = 7.5k + 25 Reorder the terms: 500 = 25 + 7.5k Solving 500 = 25 + 7.5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7.5k' to each side of the equation. 500 + -7.5k = 25 + 7.5k + -7.5k Combine like terms: 7.5k + -7.5k = 0.0 500 + -7.5k = 25 + 0.0 500 + -7.5k = 25 Add '-500' to each side of the equation. 500 + -500 + -7.5k = 25 + -500 Combine like terms: 500 + -500 = 0 0 + -7.5k = 25 + -500 -7.5k = 25 + -500 Combine like terms: 25 + -500 = -475 -7.5k = -475 Divide each side by '-7.5'. k = 63.33333333 Simplifying k = 63.33333333
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