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Simplifying 38k + 36(7 + k) = 0 38k + (7 * 36 + k * 36) = 0 38k + (252 + 36k) = 0 Reorder the terms: 252 + 38k + 36k = 0 Combine like terms: 38k + 36k = 74k 252 + 74k = 0 Solving 252 + 74k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-252' to each side of the equation. 252 + -252 + 74k = 0 + -252 Combine like terms: 252 + -252 = 0 0 + 74k = 0 + -252 74k = 0 + -252 Combine like terms: 0 + -252 = -252 74k = -252 Divide each side by '74'. k = -3.405405405 Simplifying k = -3.405405405
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