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Simplifying 9k + -4 + 6k = -32 Reorder the terms: -4 + 9k + 6k = -32 Combine like terms: 9k + 6k = 15k -4 + 15k = -32 Solving -4 + 15k = -32 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 15k = -32 + 4 Combine like terms: -4 + 4 = 0 0 + 15k = -32 + 4 15k = -32 + 4 Combine like terms: -32 + 4 = -28 15k = -28 Divide each side by '15'. k = -1.866666667 Simplifying k = -1.866666667
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