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Simplifying -5(-6k + -1) = 8k + -39 Reorder the terms: -5(-1 + -6k) = 8k + -39 (-1 * -5 + -6k * -5) = 8k + -39 (5 + 30k) = 8k + -39 Reorder the terms: 5 + 30k = -39 + 8k Solving 5 + 30k = -39 + 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. 5 + 30k + -8k = -39 + 8k + -8k Combine like terms: 30k + -8k = 22k 5 + 22k = -39 + 8k + -8k Combine like terms: 8k + -8k = 0 5 + 22k = -39 + 0 5 + 22k = -39 Add '-5' to each side of the equation. 5 + -5 + 22k = -39 + -5 Combine like terms: 5 + -5 = 0 0 + 22k = -39 + -5 22k = -39 + -5 Combine like terms: -39 + -5 = -44 22k = -44 Divide each side by '22'. k = -2 Simplifying k = -2
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