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Simplifying -2(3k + 2) + -6k = 0 Reorder the terms: -2(2 + 3k) + -6k = 0 (2 * -2 + 3k * -2) + -6k = 0 (-4 + -6k) + -6k = 0 Combine like terms: -6k + -6k = -12k -4 + -12k = 0 Solving -4 + -12k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -12k = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -12k = 0 + 4 -12k = 0 + 4 Combine like terms: 0 + 4 = 4 -12k = 4 Divide each side by '-12'. k = -0.3333333333 Simplifying k = -0.3333333333
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