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Simplifying 4.50(5 + -1k) = 5.25(5) (5 * 4.50 + -1k * 4.50) = 5.25(5) (22.5 + -4.5k) = 5.25(5) Multiply 5.25 * 5 22.5 + -4.5k = 26.25 Solving 22.5 + -4.5k = 26.25 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-22.5' to each side of the equation. 22.5 + -22.5 + -4.5k = 26.25 + -22.5 Combine like terms: 22.5 + -22.5 = 0.0 0.0 + -4.5k = 26.25 + -22.5 -4.5k = 26.25 + -22.5 Combine like terms: 26.25 + -22.5 = 3.75 -4.5k = 3.75 Divide each side by '-4.5'. k = -0.8333333333 Simplifying k = -0.8333333333
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