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Simplifying 75 + 21k = 19 + 29k Solving 75 + 21k = 19 + 29k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-29k' to each side of the equation. 75 + 21k + -29k = 19 + 29k + -29k Combine like terms: 21k + -29k = -8k 75 + -8k = 19 + 29k + -29k Combine like terms: 29k + -29k = 0 75 + -8k = 19 + 0 75 + -8k = 19 Add '-75' to each side of the equation. 75 + -75 + -8k = 19 + -75 Combine like terms: 75 + -75 = 0 0 + -8k = 19 + -75 -8k = 19 + -75 Combine like terms: 19 + -75 = -56 -8k = -56 Divide each side by '-8'. k = 7 Simplifying k = 7
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