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Simplifying 5(3 + -6k) + -1k = -24 + 8k (3 * 5 + -6k * 5) + -1k = -24 + 8k (15 + -30k) + -1k = -24 + 8k Combine like terms: -30k + -1k = -31k 15 + -31k = -24 + 8k Solving 15 + -31k = -24 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 15 + -31k + -8k = -24 + 8k + -8k Combine like terms: -31k + -8k = -39k 15 + -39k = -24 + 8k + -8k Combine like terms: 8k + -8k = 0 15 + -39k = -24 + 0 15 + -39k = -24 Add '-15' to each side of the equation. 15 + -15 + -39k = -24 + -15 Combine like terms: 15 + -15 = 0 0 + -39k = -24 + -15 -39k = -24 + -15 Combine like terms: -24 + -15 = -39 -39k = -39 Divide each side by '-39'. k = 1 Simplifying k = 1
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