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Simplifying 7k + 23 = 2k + -12 Reorder the terms: 23 + 7k = 2k + -12 Reorder the terms: 23 + 7k = -12 + 2k Solving 23 + 7k = -12 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 23 + 7k + -2k = -12 + 2k + -2k Combine like terms: 7k + -2k = 5k 23 + 5k = -12 + 2k + -2k Combine like terms: 2k + -2k = 0 23 + 5k = -12 + 0 23 + 5k = -12 Add '-23' to each side of the equation. 23 + -23 + 5k = -12 + -23 Combine like terms: 23 + -23 = 0 0 + 5k = -12 + -23 5k = -12 + -23 Combine like terms: -12 + -23 = -35 5k = -35 Divide each side by '5'. k = -7 Simplifying k = -7
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