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Simplifying 12 + 5k = -7k + 6(-2k + 6) Reorder the terms: 12 + 5k = -7k + 6(6 + -2k) 12 + 5k = -7k + (6 * 6 + -2k * 6) 12 + 5k = -7k + (36 + -12k) Reorder the terms: 12 + 5k = 36 + -7k + -12k Combine like terms: -7k + -12k = -19k 12 + 5k = 36 + -19k Solving 12 + 5k = 36 + -19k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '19k' to each side of the equation. 12 + 5k + 19k = 36 + -19k + 19k Combine like terms: 5k + 19k = 24k 12 + 24k = 36 + -19k + 19k Combine like terms: -19k + 19k = 0 12 + 24k = 36 + 0 12 + 24k = 36 Add '-12' to each side of the equation. 12 + -12 + 24k = 36 + -12 Combine like terms: 12 + -12 = 0 0 + 24k = 36 + -12 24k = 36 + -12 Combine like terms: 36 + -12 = 24 24k = 24 Divide each side by '24'. k = 1 Simplifying k = 1
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