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Simplifying 3 + 7k = 8 + -3k Solving 3 + 7k = 8 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. 3 + 7k + 3k = 8 + -3k + 3k Combine like terms: 7k + 3k = 10k 3 + 10k = 8 + -3k + 3k Combine like terms: -3k + 3k = 0 3 + 10k = 8 + 0 3 + 10k = 8 Add '-3' to each side of the equation. 3 + -3 + 10k = 8 + -3 Combine like terms: 3 + -3 = 0 0 + 10k = 8 + -3 10k = 8 + -3 Combine like terms: 8 + -3 = 5 10k = 5 Divide each side by '10'. k = 0.5 Simplifying k = 0.5
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