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Simplifying 12 + k + -2 = 5k + -2k Reorder the terms: 12 + -2 + k = 5k + -2k Combine like terms: 12 + -2 = 10 10 + k = 5k + -2k Combine like terms: 5k + -2k = 3k 10 + k = 3k Solving 10 + 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. 10 + k + -3k = 3k + -3k Combine like terms: k + -3k = -2k 10 + -2k = 3k + -3k Combine like terms: 3k + -3k = 0 10 + -2k = 0 Add '-10' to each side of the equation. 10 + -10 + -2k = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -2k = 0 + -10 -2k = 0 + -10 Combine like terms: 0 + -10 = -10 -2k = -10 Divide each side by '-2'. k = 5 Simplifying k = 5
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