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Simplifying 23 = 12 + -1(6 + k) 23 = 12 + (6 * -1 + k * -1) 23 = 12 + (-6 + -1k) Combine like terms: 12 + -6 = 6 23 = 6 + -1k Solving 23 = 6 + -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. 23 + k = 6 + -1k + k Combine like terms: -1k + k = 0 23 + k = 6 + 0 23 + k = 6 Add '-23' to each side of the equation. 23 + -23 + k = 6 + -23 Combine like terms: 23 + -23 = 0 0 + k = 6 + -23 k = 6 + -23 Combine like terms: 6 + -23 = -17 k = -17 Simplifying k = -17
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