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Simplifying 12 + 3k = 2k + 5k Combine like terms: 2k + 5k = 7k 12 + 3k = 7k Solving 12 + 3k = 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. 12 + 3k + -7k = 7k + -7k Combine like terms: 3k + -7k = -4k 12 + -4k = 7k + -7k Combine like terms: 7k + -7k = 0 12 + -4k = 0 Add '-12' to each side of the equation. 12 + -12 + -4k = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -4k = 0 + -12 -4k = 0 + -12 Combine like terms: 0 + -12 = -12 -4k = -12 Divide each side by '-4'. k = 3 Simplifying k = 3
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