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Simplifying -4 + 2[5k + -6] = -3k + -39 Reorder the terms: -4 + 2[-6 + 5k] = -3k + -39 -4 + [-6 * 2 + 5k * 2] = -3k + -39 -4 + [-12 + 10k] = -3k + -39 Combine like terms: -4 + -12 = -16 -16 + 10k = -3k + -39 Reorder the terms: -16 + 10k = -39 + -3k Solving -16 + 10k = -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. -16 + 10k + 3k = -39 + -3k + 3k Combine like terms: 10k + 3k = 13k -16 + 13k = -39 + -3k + 3k Combine like terms: -3k + 3k = 0 -16 + 13k = -39 + 0 -16 + 13k = -39 Add '16' to each side of the equation. -16 + 16 + 13k = -39 + 16 Combine like terms: -16 + 16 = 0 0 + 13k = -39 + 16 13k = -39 + 16 Combine like terms: -39 + 16 = -23 13k = -23 Divide each side by '13'. k = -1.769230769 Simplifying k = -1.769230769
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