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Simplifying -1(3 + k) = -39 + 5k (3 * -1 + k * -1) = -39 + 5k (-3 + -1k) = -39 + 5k Solving -3 + -1k = -39 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. -3 + -1k + -5k = -39 + 5k + -5k Combine like terms: -1k + -5k = -6k -3 + -6k = -39 + 5k + -5k Combine like terms: 5k + -5k = 0 -3 + -6k = -39 + 0 -3 + -6k = -39 Add '3' to each side of the equation. -3 + 3 + -6k = -39 + 3 Combine like terms: -3 + 3 = 0 0 + -6k = -39 + 3 -6k = -39 + 3 Combine like terms: -39 + 3 = -36 -6k = -36 Divide each side by '-6'. k = 6 Simplifying k = 6
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