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Simplifying k + 5 = 10 + -9k Reorder the terms: 5 + k = 10 + -9k Solving 5 + k = 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. 5 + k + 9k = 10 + -9k + 9k Combine like terms: k + 9k = 10k 5 + 10k = 10 + -9k + 9k Combine like terms: -9k + 9k = 0 5 + 10k = 10 + 0 5 + 10k = 10 Add '-5' to each side of the equation. 5 + -5 + 10k = 10 + -5 Combine like terms: 5 + -5 = 0 0 + 10k = 10 + -5 10k = 10 + -5 Combine like terms: 10 + -5 = 5 10k = 5 Divide each side by '10'. k = 0.5 Simplifying k = 0.5
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