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Simplifying 2k + 3 + 3k = 1 + 7k Reorder the terms: 3 + 2k + 3k = 1 + 7k Combine like terms: 2k + 3k = 5k 3 + 5k = 1 + 7k Solving 3 + 5k = 1 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. 3 + 5k + -7k = 1 + 7k + -7k Combine like terms: 5k + -7k = -2k 3 + -2k = 1 + 7k + -7k Combine like terms: 7k + -7k = 0 3 + -2k = 1 + 0 3 + -2k = 1 Add '-3' to each side of the equation. 3 + -3 + -2k = 1 + -3 Combine like terms: 3 + -3 = 0 0 + -2k = 1 + -3 -2k = 1 + -3 Combine like terms: 1 + -3 = -2 -2k = -2 Divide each side by '-2'. k = 1 Simplifying k = 1
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