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Simplifying 12 + -2k = k + -7 + 7 Reorder the terms: 12 + -2k = -7 + 7 + k Combine like terms: -7 + 7 = 0 12 + -2k = 0 + k 12 + -2k = k Solving 12 + -2k = k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 12 + -2k + -1k = k + -1k Combine like terms: -2k + -1k = -3k 12 + -3k = k + -1k Combine like terms: k + -1k = 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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