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Simplifying -4k + 2(5k + 6) = 3k + -39 Reorder the terms: -4k + 2(6 + 5k) = 3k + -39 -4k + (6 * 2 + 5k * 2) = 3k + -39 -4k + (12 + 10k) = 3k + -39 Reorder the terms: 12 + -4k + 10k = 3k + -39 Combine like terms: -4k + 10k = 6k 12 + 6k = 3k + -39 Reorder the terms: 12 + 6k = -39 + 3k Solving 12 + 6k = -39 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 12 + 6k + -3k = -39 + 3k + -3k Combine like terms: 6k + -3k = 3k 12 + 3k = -39 + 3k + -3k Combine like terms: 3k + -3k = 0 12 + 3k = -39 + 0 12 + 3k = -39 Add '-12' to each side of the equation. 12 + -12 + 3k = -39 + -12 Combine like terms: 12 + -12 = 0 0 + 3k = -39 + -12 3k = -39 + -12 Combine like terms: -39 + -12 = -51 3k = -51 Divide each side by '3'. k = -17 Simplifying k = -17
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