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Simplifying 17.24 = 1.57(k + 8) + -1.6 Reorder the terms: 17.24 = 1.57(8 + k) + -1.6 17.24 = (8 * 1.57 + k * 1.57) + -1.6 17.24 = (12.56 + 1.57k) + -1.6 Reorder the terms: 17.24 = 12.56 + -1.6 + 1.57k Combine like terms: 12.56 + -1.6 = 10.96 17.24 = 10.96 + 1.57k Solving 17.24 = 10.96 + 1.57k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1.57k' to each side of the equation. 17.24 + -1.57k = 10.96 + 1.57k + -1.57k Combine like terms: 1.57k + -1.57k = 0.00 17.24 + -1.57k = 10.96 + 0.00 17.24 + -1.57k = 10.96 Add '-17.24' to each side of the equation. 17.24 + -17.24 + -1.57k = 10.96 + -17.24 Combine like terms: 17.24 + -17.24 = 0.00 0.00 + -1.57k = 10.96 + -17.24 -1.57k = 10.96 + -17.24 Combine like terms: 10.96 + -17.24 = -6.28 -1.57k = -6.28 Divide each side by '-1.57'. k = 4 Simplifying k = 4
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