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Simplifying 22.5 = 7.5(k + -5) Reorder the terms: 22.5 = 7.5(-5 + k) 22.5 = (-5 * 7.5 + k * 7.5) 22.5 = (-37.5 + 7.5k) Solving 22.5 = -37.5 + 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. 22.5 + -7.5k = -37.5 + 7.5k + -7.5k Combine like terms: 7.5k + -7.5k = 0.0 22.5 + -7.5k = -37.5 + 0.0 22.5 + -7.5k = -37.5 Add '-22.5' to each side of the equation. 22.5 + -22.5 + -7.5k = -37.5 + -22.5 Combine like terms: 22.5 + -22.5 = 0.0 0.0 + -7.5k = -37.5 + -22.5 -7.5k = -37.5 + -22.5 Combine like terms: -37.5 + -22.5 = -60 -7.5k = -60 Divide each side by '-7.5'. k = 8 Simplifying k = 8
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