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Simplifying 10 + 2k + 5k = 1 + 5k + 5k Combine like terms: 2k + 5k = 7k 10 + 7k = 1 + 5k + 5k Combine like terms: 5k + 5k = 10k 10 + 7k = 1 + 10k Solving 10 + 7k = 1 + 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 + 7k + -10k = 1 + 10k + -10k Combine like terms: 7k + -10k = -3k 10 + -3k = 1 + 10k + -10k Combine like terms: 10k + -10k = 0 10 + -3k = 1 + 0 10 + -3k = 1 Add '-10' to each side of the equation. 10 + -10 + -3k = 1 + -10 Combine like terms: 10 + -10 = 0 0 + -3k = 1 + -10 -3k = 1 + -10 Combine like terms: 1 + -10 = -9 -3k = -9 Divide each side by '-3'. k = 3 Simplifying k = 3
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