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Simplifying 2(-3k + 2) + -1(5k + -6) + -3k + -5 = 0 Reorder the terms: 2(2 + -3k) + -1(5k + -6) + -3k + -5 = 0 (2 * 2 + -3k * 2) + -1(5k + -6) + -3k + -5 = 0 (4 + -6k) + -1(5k + -6) + -3k + -5 = 0 Reorder the terms: 4 + -6k + -1(-6 + 5k) + -3k + -5 = 0 4 + -6k + (-6 * -1 + 5k * -1) + -3k + -5 = 0 4 + -6k + (6 + -5k) + -3k + -5 = 0 Reorder the terms: 4 + 6 + -5 + -6k + -5k + -3k = 0 Combine like terms: 4 + 6 = 10 10 + -5 + -6k + -5k + -3k = 0 Combine like terms: 10 + -5 = 5 5 + -6k + -5k + -3k = 0 Combine like terms: -6k + -5k = -11k 5 + -11k + -3k = 0 Combine like terms: -11k + -3k = -14k 5 + -14k = 0 Solving 5 + -14k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -14k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -14k = 0 + -5 -14k = 0 + -5 Combine like terms: 0 + -5 = -5 -14k = -5 Divide each side by '-14'. k = 0.3571428571 Simplifying k = 0.3571428571
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