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Simplifying 7 + -8k + 24 = -10 + -9k Reorder the terms: 7 + 24 + -8k = -10 + -9k Combine like terms: 7 + 24 = 31 31 + -8k = -10 + -9k Solving 31 + -8k = -10 + -9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9k' to each side of the equation. 31 + -8k + 9k = -10 + -9k + 9k Combine like terms: -8k + 9k = 1k 31 + 1k = -10 + -9k + 9k Combine like terms: -9k + 9k = 0 31 + 1k = -10 + 0 31 + 1k = -10 Add '-31' to each side of the equation. 31 + -31 + 1k = -10 + -31 Combine like terms: 31 + -31 = 0 0 + 1k = -10 + -31 1k = -10 + -31 Combine like terms: -10 + -31 = -41 1k = -41 Divide each side by '1'. k = -41 Simplifying k = -41
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