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Simplifying 10.75 = 7.50 + 0.25(k) Solving 10.75 = 7.50 + 0.25k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.25k' to each side of the equation. 10.75 + -0.25k = 7.50 + 0.25k + -0.25k Combine like terms: 0.25k + -0.25k = 0.00 10.75 + -0.25k = 7.50 + 0.00 10.75 + -0.25k = 7.50 Add '-10.75' to each side of the equation. 10.75 + -10.75 + -0.25k = 7.50 + -10.75 Combine like terms: 10.75 + -10.75 = 0.00 0.00 + -0.25k = 7.50 + -10.75 -0.25k = 7.50 + -10.75 Combine like terms: 7.50 + -10.75 = -3.25 -0.25k = -3.25 Divide each side by '-0.25'. k = 13 Simplifying k = 13
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