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Simplifying 1.7k + -1(1.5k + -2) = 59(0.26k + 0.8) Reorder the terms: 1.7k + -1(-2 + 1.5k) = 59(0.26k + 0.8) 1.7k + (-2 * -1 + 1.5k * -1) = 59(0.26k + 0.8) 1.7k + (2 + -1.5k) = 59(0.26k + 0.8) Reorder the terms: 2 + 1.7k + -1.5k = 59(0.26k + 0.8) Combine like terms: 1.7k + -1.5k = 0.2k 2 + 0.2k = 59(0.26k + 0.8) Reorder the terms: 2 + 0.2k = 59(0.8 + 0.26k) 2 + 0.2k = (0.8 * 59 + 0.26k * 59) 2 + 0.2k = (47.2 + 15.34k) Solving 2 + 0.2k = 47.2 + 15.34k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15.34k' to each side of the equation. 2 + 0.2k + -15.34k = 47.2 + 15.34k + -15.34k Combine like terms: 0.2k + -15.34k = -15.14k 2 + -15.14k = 47.2 + 15.34k + -15.34k Combine like terms: 15.34k + -15.34k = 0.00 2 + -15.14k = 47.2 + 0.00 2 + -15.14k = 47.2 Add '-2' to each side of the equation. 2 + -2 + -15.14k = 47.2 + -2 Combine like terms: 2 + -2 = 0 0 + -15.14k = 47.2 + -2 -15.14k = 47.2 + -2 Combine like terms: 47.2 + -2 = 45.2 -15.14k = 45.2 Divide each side by '-15.14'. k = -2.985468956 Simplifying k = -2.985468956
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