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Simplifying 7k + 12 = 2k + 3 Reorder the terms: 12 + 7k = 2k + 3 Reorder the terms: 12 + 7k = 3 + 2k Solving 12 + 7k = 3 + 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. 12 + 7k + -2k = 3 + 2k + -2k Combine like terms: 7k + -2k = 5k 12 + 5k = 3 + 2k + -2k Combine like terms: 2k + -2k = 0 12 + 5k = 3 + 0 12 + 5k = 3 Add '-12' to each side of the equation. 12 + -12 + 5k = 3 + -12 Combine like terms: 12 + -12 = 0 0 + 5k = 3 + -12 5k = 3 + -12 Combine like terms: 3 + -12 = -9 5k = -9 Divide each side by '5'. k = -1.8 Simplifying k = -1.8
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