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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 = 2 2 + -5 + 6k + -5k + -3k = 0 Combine like terms: 2 + -5 = -3 -3 + 6k + -5k + -3k = 0 Combine like terms: 6k + -5k = 1k -3 + 1k + -3k = 0 Combine like terms: 1k + -3k = -2k -3 + -2k = 0 Solving -3 + -2k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -2k = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2k = 0 + 3 -2k = 0 + 3 Combine like terms: 0 + 3 = 3 -2k = 3 Divide each side by '-2'. k = -1.5 Simplifying k = -1.5
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