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Simplifying 9k + -14 = 8k + -32 Reorder the terms: -14 + 9k = 8k + -32 Reorder the terms: -14 + 9k = -32 + 8k Solving -14 + 9k = -32 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. -14 + 9k + -8k = -32 + 8k + -8k Combine like terms: 9k + -8k = 1k -14 + 1k = -32 + 8k + -8k Combine like terms: 8k + -8k = 0 -14 + 1k = -32 + 0 -14 + 1k = -32 Add '14' to each side of the equation. -14 + 14 + 1k = -32 + 14 Combine like terms: -14 + 14 = 0 0 + 1k = -32 + 14 1k = -32 + 14 Combine like terms: -32 + 14 = -18 1k = -18 Divide each side by '1'. k = -18 Simplifying k = -18
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