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Simplifying 7k + 1 = 6(2k + 6) Reorder the terms: 1 + 7k = 6(2k + 6) Reorder the terms: 1 + 7k = 6(6 + 2k) 1 + 7k = (6 * 6 + 2k * 6) 1 + 7k = (36 + 12k) Solving 1 + 7k = 36 + 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. 1 + 7k + -12k = 36 + 12k + -12k Combine like terms: 7k + -12k = -5k 1 + -5k = 36 + 12k + -12k Combine like terms: 12k + -12k = 0 1 + -5k = 36 + 0 1 + -5k = 36 Add '-1' to each side of the equation. 1 + -1 + -5k = 36 + -1 Combine like terms: 1 + -1 = 0 0 + -5k = 36 + -1 -5k = 36 + -1 Combine like terms: 36 + -1 = 35 -5k = 35 Divide each side by '-5'. k = -7 Simplifying k = -7
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