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Simplifying 21k + -500 = 73k + -32 Reorder the terms: -500 + 21k = 73k + -32 Reorder the terms: -500 + 21k = -32 + 73k Solving -500 + 21k = -32 + 73k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-73k' to each side of the equation. -500 + 21k + -73k = -32 + 73k + -73k Combine like terms: 21k + -73k = -52k -500 + -52k = -32 + 73k + -73k Combine like terms: 73k + -73k = 0 -500 + -52k = -32 + 0 -500 + -52k = -32 Add '500' to each side of the equation. -500 + 500 + -52k = -32 + 500 Combine like terms: -500 + 500 = 0 0 + -52k = -32 + 500 -52k = -32 + 500 Combine like terms: -32 + 500 = 468 -52k = 468 Divide each side by '-52'. k = -9 Simplifying k = -9
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