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Simplifying 3(10k + 5) + k = -233 Reorder the terms: 3(5 + 10k) + k = -233 (5 * 3 + 10k * 3) + k = -233 (15 + 30k) + k = -233 Combine like terms: 30k + k = 31k 15 + 31k = -233 Solving 15 + 31k = -233 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 31k = -233 + -15 Combine like terms: 15 + -15 = 0 0 + 31k = -233 + -15 31k = -233 + -15 Combine like terms: -233 + -15 = -248 31k = -248 Divide each side by '31'. k = -8 Simplifying k = -8
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