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Simplifying -4k + 10k + -8 = -3k + -39 Reorder the terms: -8 + -4k + 10k = -3k + -39 Combine like terms: -4k + 10k = 6k -8 + 6k = -3k + -39 Reorder the terms: -8 + 6k = -39 + -3k Solving -8 + 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. -8 + 6k + 3k = -39 + -3k + 3k Combine like terms: 6k + 3k = 9k -8 + 9k = -39 + -3k + 3k Combine like terms: -3k + 3k = 0 -8 + 9k = -39 + 0 -8 + 9k = -39 Add '8' to each side of the equation. -8 + 8 + 9k = -39 + 8 Combine like terms: -8 + 8 = 0 0 + 9k = -39 + 8 9k = -39 + 8 Combine like terms: -39 + 8 = -31 9k = -31 Divide each side by '9'. k = -3.444444444 Simplifying k = -3.444444444
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