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Simplifying 5.75 + 4.50(k + -5) = 26.25 Reorder the terms: 5.75 + 4.50(-5 + k) = 26.25 5.75 + (-5 * 4.50 + k * 4.50) = 26.25 5.75 + (-22.5 + 4.50k) = 26.25 Combine like terms: 5.75 + -22.5 = -16.75 -16.75 + 4.50k = 26.25 Solving -16.75 + 4.50k = 26.25 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '16.75' to each side of the equation. -16.75 + 16.75 + 4.50k = 26.25 + 16.75 Combine like terms: -16.75 + 16.75 = 0.00 0.00 + 4.50k = 26.25 + 16.75 4.50k = 26.25 + 16.75 Combine like terms: 26.25 + 16.75 = 43 4.50k = 43 Divide each side by '4.50'. k = 9.555555556 Simplifying k = 9.555555556
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