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Simplifying 145 = 18(k + 992) + -233 Reorder the terms: 145 = 18(992 + k) + -233 145 = (992 * 18 + k * 18) + -233 145 = (17856 + 18k) + -233 Reorder the terms: 145 = 17856 + -233 + 18k Combine like terms: 17856 + -233 = 17623 145 = 17623 + 18k Solving 145 = 17623 + 18k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18k' to each side of the equation. 145 + -18k = 17623 + 18k + -18k Combine like terms: 18k + -18k = 0 145 + -18k = 17623 + 0 145 + -18k = 17623 Add '-145' to each side of the equation. 145 + -145 + -18k = 17623 + -145 Combine like terms: 145 + -145 = 0 0 + -18k = 17623 + -145 -18k = 17623 + -145 Combine like terms: 17623 + -145 = 17478 -18k = 17478 Divide each side by '-18'. k = -971 Simplifying k = -971
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