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Simplifying -22 + 3k + -8 = -32 Reorder the terms: -22 + -8 + 3k = -32 Combine like terms: -22 + -8 = -30 -30 + 3k = -32 Solving -30 + 3k = -32 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 3k = -32 + 30 Combine like terms: -30 + 30 = 0 0 + 3k = -32 + 30 3k = -32 + 30 Combine like terms: -32 + 30 = -2 3k = -2 Divide each side by '3'. k = -0.6666666667 Simplifying k = -0.6666666667
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