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Simplifying 1.7k + -2(1.5k + -2) = 5(0.26k + 0.8) Reorder the terms: 1.7k + -2(-2 + 1.5k) = 5(0.26k + 0.8) 1.7k + (-2 * -2 + 1.5k * -2) = 5(0.26k + 0.8) 1.7k + (4 + -3k) = 5(0.26k + 0.8) Reorder the terms: 4 + 1.7k + -3k = 5(0.26k + 0.8) Combine like terms: 1.7k + -3k = -1.3k 4 + -1.3k = 5(0.26k + 0.8) Reorder the terms: 4 + -1.3k = 5(0.8 + 0.26k) 4 + -1.3k = (0.8 * 5 + 0.26k * 5) 4 + -1.3k = (4 + 1.3k) Add '-4' to each side of the equation. 4 + -4 + -1.3k = 4 + -4 + 1.3k Combine like terms: 4 + -4 = 0 0 + -1.3k = 4 + -4 + 1.3k -1.3k = 4 + -4 + 1.3k Combine like terms: 4 + -4 = 0 -1.3k = 0 + 1.3k -1.3k = 1.3k Solving -1.3k = 1.3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1.3k' to each side of the equation. -1.3k + -1.3k = 1.3k + -1.3k Combine like terms: -1.3k + -1.3k = -2.6k -2.6k = 1.3k + -1.3k Combine like terms: 1.3k + -1.3k = 0.0 -2.6k = 0.0 Divide each side by '-2.6'. k = 0 Simplifying k = 0
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