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Simplifying -4k + 2 + -5k + -6 = -3k + -39 Reorder the terms: 2 + -6 + -4k + -5k = -3k + -39 Combine like terms: 2 + -6 = -4 -4 + -4k + -5k = -3k + -39 Combine like terms: -4k + -5k = -9k -4 + -9k = -3k + -39 Reorder the terms: -4 + -9k = -39 + -3k Solving -4 + -9k = -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. -4 + -9k + 3k = -39 + -3k + 3k Combine like terms: -9k + 3k = -6k -4 + -6k = -39 + -3k + 3k Combine like terms: -3k + 3k = 0 -4 + -6k = -39 + 0 -4 + -6k = -39 Add '4' to each side of the equation. -4 + 4 + -6k = -39 + 4 Combine like terms: -4 + 4 = 0 0 + -6k = -39 + 4 -6k = -39 + 4 Combine like terms: -39 + 4 = -35 -6k = -35 Divide each side by '-6'. k = 5.833333333 Simplifying k = 5.833333333
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