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Simplifying 38k + 5 + -18k + 97 = 0 Reorder the terms: 5 + 97 + 38k + -18k = 0 Combine like terms: 5 + 97 = 102 102 + 38k + -18k = 0 Combine like terms: 38k + -18k = 20k 102 + 20k = 0 Solving 102 + 20k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-102' to each side of the equation. 102 + -102 + 20k = 0 + -102 Combine like terms: 102 + -102 = 0 0 + 20k = 0 + -102 20k = 0 + -102 Combine like terms: 0 + -102 = -102 20k = -102 Divide each side by '20'. k = -5.1 Simplifying k = -5.1
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