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Simplifying -3(-3 + -2k) = 39 + k (-3 * -3 + -2k * -3) = 39 + k (9 + 6k) = 39 + k Solving 9 + 6k = 39 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 9 + 6k + -1k = 39 + k + -1k Combine like terms: 6k + -1k = 5k 9 + 5k = 39 + k + -1k Combine like terms: k + -1k = 0 9 + 5k = 39 + 0 9 + 5k = 39 Add '-9' to each side of the equation. 9 + -9 + 5k = 39 + -9 Combine like terms: 9 + -9 = 0 0 + 5k = 39 + -9 5k = 39 + -9 Combine like terms: 39 + -9 = 30 5k = 30 Divide each side by '5'. k = 6 Simplifying k = 6
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