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Simplifying 12 + k = 4k + -1k Combine like terms: 4k + -1k = 3k 12 + k = 3k Solving 12 + k = 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 + k + -3k = 3k + -3k Combine like terms: k + -3k = -2k 12 + -2k = 3k + -3k Combine like terms: 3k + -3k = 0 12 + -2k = 0 Add '-12' to each side of the equation. 12 + -12 + -2k = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -2k = 0 + -12 -2k = 0 + -12 Combine like terms: 0 + -12 = -12 -2k = -12 Divide each side by '-2'. k = 6 Simplifying k = 6
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