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Simplifying 17k + 32 = 23k + -22 Reorder the terms: 32 + 17k = 23k + -22 Reorder the terms: 32 + 17k = -22 + 23k Solving 32 + 17k = -22 + 23k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-23k' to each side of the equation. 32 + 17k + -23k = -22 + 23k + -23k Combine like terms: 17k + -23k = -6k 32 + -6k = -22 + 23k + -23k Combine like terms: 23k + -23k = 0 32 + -6k = -22 + 0 32 + -6k = -22 Add '-32' to each side of the equation. 32 + -32 + -6k = -22 + -32 Combine like terms: 32 + -32 = 0 0 + -6k = -22 + -32 -6k = -22 + -32 Combine like terms: -22 + -32 = -54 -6k = -54 Divide each side by '-6'. k = 9 Simplifying k = 9
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