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Simplifying 3 + 7 = 12 + -1k Combine like terms: 3 + 7 = 10 10 = 12 + -1k Solving 10 = 12 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 10 + k = 12 + -1k + k Combine like terms: -1k + k = 0 10 + k = 12 + 0 10 + k = 12 Add '-10' to each side of the equation. 10 + -10 + k = 12 + -10 Combine like terms: 10 + -10 = 0 0 + k = 12 + -10 k = 12 + -10 Combine like terms: 12 + -10 = 2 k = 2 Simplifying k = 2
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