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Simplifying 4k + 25k + -6 = -3k + -39 Reorder the terms: -6 + 4k + 25k = -3k + -39 Combine like terms: 4k + 25k = 29k -6 + 29k = -3k + -39 Reorder the terms: -6 + 29k = -39 + -3k Solving -6 + 29k = -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. -6 + 29k + 3k = -39 + -3k + 3k Combine like terms: 29k + 3k = 32k -6 + 32k = -39 + -3k + 3k Combine like terms: -3k + 3k = 0 -6 + 32k = -39 + 0 -6 + 32k = -39 Add '6' to each side of the equation. -6 + 6 + 32k = -39 + 6 Combine like terms: -6 + 6 = 0 0 + 32k = -39 + 6 32k = -39 + 6 Combine like terms: -39 + 6 = -33 32k = -33 Divide each side by '32'. k = -1.03125 Simplifying k = -1.03125
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