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Simplifying 2(3k + 9) + -3(k + -2) = 0 Reorder the terms: 2(9 + 3k) + -3(k + -2) = 0 (9 * 2 + 3k * 2) + -3(k + -2) = 0 (18 + 6k) + -3(k + -2) = 0 Reorder the terms: 18 + 6k + -3(-2 + k) = 0 18 + 6k + (-2 * -3 + k * -3) = 0 18 + 6k + (6 + -3k) = 0 Reorder the terms: 18 + 6 + 6k + -3k = 0 Combine like terms: 18 + 6 = 24 24 + 6k + -3k = 0 Combine like terms: 6k + -3k = 3k 24 + 3k = 0 Solving 24 + 3k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 3k = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 3k = 0 + -24 3k = 0 + -24 Combine like terms: 0 + -24 = -24 3k = -24 Divide each side by '3'. k = -8 Simplifying k = -8
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