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