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Simplifying 5.75k + 4.5(5 + -1k) = 5(5.25) 5.75k + (5 * 4.5 + -1k * 4.5) = 5(5.25) 5.75k + (22.5 + -4.5k) = 5(5.25) Reorder the terms: 22.5 + 5.75k + -4.5k = 5(5.25) Combine like terms: 5.75k + -4.5k = 1.25k 22.5 + 1.25k = 5(5.25) Multiply 5 * 5.25 22.5 + 1.25k = 26.25 Solving 22.5 + 1.25k = 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 + 1.25k = 26.25 + -22.5 Combine like terms: 22.5 + -22.5 = 0.0 0.0 + 1.25k = 26.25 + -22.5 1.25k = 26.25 + -22.5 Combine like terms: 26.25 + -22.5 = 3.75 1.25k = 3.75 Divide each side by '1.25'. k = 3 Simplifying k = 3
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