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Simplifying 4k + -9k + 3 = -32 Reorder the terms: 3 + 4k + -9k = -32 Combine like terms: 4k + -9k = -5k 3 + -5k = -32 Solving 3 + -5k = -32 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5k = -32 + -3 Combine like terms: 3 + -3 = 0 0 + -5k = -32 + -3 -5k = -32 + -3 Combine like terms: -32 + -3 = -35 -5k = -35 Divide each side by '-5'. k = 7 Simplifying k = 7
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