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Simplifying -3(6k + -3) = -18 + -14 Reorder the terms: -3(-3 + 6k) = -18 + -14 (-3 * -3 + 6k * -3) = -18 + -14 (9 + -18k) = -18 + -14 Combine like terms: -18 + -14 = -32 9 + -18k = -32 Solving 9 + -18k = -32 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -18k = -32 + -9 Combine like terms: 9 + -9 = 0 0 + -18k = -32 + -9 -18k = -32 + -9 Combine like terms: -32 + -9 = -41 -18k = -41 Divide each side by '-18'. k = 2.277777778 Simplifying k = 2.277777778
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