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Simplifying 10 = 3k + 7k Combine like terms: 3k + 7k = 10k 10 = 10k Solving 10 = 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. 10 + -10k = 10k + -10k Combine like terms: 10k + -10k = 0 10 + -10k = 0 Add '-10' to each side of the equation. 10 + -10 + -10k = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -10k = 0 + -10 -10k = 0 + -10 Combine like terms: 0 + -10 = -10 -10k = -10 Divide each side by '-10'. k = 1 Simplifying k = 1
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