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Simplifying 3(5k + 8) = -39 + 6k Reorder the terms: 3(8 + 5k) = -39 + 6k (8 * 3 + 5k * 3) = -39 + 6k (24 + 15k) = -39 + 6k Solving 24 + 15k = -39 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 24 + 15k + -6k = -39 + 6k + -6k Combine like terms: 15k + -6k = 9k 24 + 9k = -39 + 6k + -6k Combine like terms: 6k + -6k = 0 24 + 9k = -39 + 0 24 + 9k = -39 Add '-24' to each side of the equation. 24 + -24 + 9k = -39 + -24 Combine like terms: 24 + -24 = 0 0 + 9k = -39 + -24 9k = -39 + -24 Combine like terms: -39 + -24 = -63 9k = -63 Divide each side by '9'. k = -7 Simplifying k = -7
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