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Simplifying 7k + 12 = 5(k + 6) + -8 Reorder the terms: 12 + 7k = 5(k + 6) + -8 Reorder the terms: 12 + 7k = 5(6 + k) + -8 12 + 7k = (6 * 5 + k * 5) + -8 12 + 7k = (30 + 5k) + -8 Reorder the terms: 12 + 7k = 30 + -8 + 5k Combine like terms: 30 + -8 = 22 12 + 7k = 22 + 5k Solving 12 + 7k = 22 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 12 + 7k + -5k = 22 + 5k + -5k Combine like terms: 7k + -5k = 2k 12 + 2k = 22 + 5k + -5k Combine like terms: 5k + -5k = 0 12 + 2k = 22 + 0 12 + 2k = 22 Add '-12' to each side of the equation. 12 + -12 + 2k = 22 + -12 Combine like terms: 12 + -12 = 0 0 + 2k = 22 + -12 2k = 22 + -12 Combine like terms: 22 + -12 = 10 2k = 10 Divide each side by '2'. k = 5 Simplifying k = 5
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