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Simplifying 15.85 = k + 0.14k + 0.17k + 0.25k Combine like terms: k + 0.14k = 1.14k 15.85 = 1.14k + 0.17k + 0.25k Combine like terms: 1.14k + 0.17k = 1.31k 15.85 = 1.31k + 0.25k Combine like terms: 1.31k + 0.25k = 1.56k 15.85 = 1.56k Solving 15.85 = 1.56k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1.56k' to each side of the equation. 15.85 + -1.56k = 1.56k + -1.56k Combine like terms: 1.56k + -1.56k = 0.00 15.85 + -1.56k = 0.00 Add '-15.85' to each side of the equation. 15.85 + -15.85 + -1.56k = 0.00 + -15.85 Combine like terms: 15.85 + -15.85 = 0.00 0.00 + -1.56k = 0.00 + -15.85 -1.56k = 0.00 + -15.85 Combine like terms: 0.00 + -15.85 = -15.85 -1.56k = -15.85 Divide each side by '-1.56'. k = 10.16025641 Simplifying k = 10.16025641
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