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Simplifying 667 = 29(k + 5) Reorder the terms: 667 = 29(5 + k) 667 = (5 * 29 + k * 29) 667 = (145 + 29k) Solving 667 = 145 + 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. 667 + -29k = 145 + 29k + -29k Combine like terms: 29k + -29k = 0 667 + -29k = 145 + 0 667 + -29k = 145 Add '-667' to each side of the equation. 667 + -667 + -29k = 145 + -667 Combine like terms: 667 + -667 = 0 0 + -29k = 145 + -667 -29k = 145 + -667 Combine like terms: 145 + -667 = -522 -29k = -522 Divide each side by '-29'. k = 18 Simplifying k = 18
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