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Simplifying 12 = k + -2 + 6k Reorder the terms: 12 = -2 + k + 6k Combine like terms: k + 6k = 7k 12 = -2 + 7k Solving 12 = -2 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. 12 + -7k = -2 + 7k + -7k Combine like terms: 7k + -7k = 0 12 + -7k = -2 + 0 12 + -7k = -2 Add '-12' to each side of the equation. 12 + -12 + -7k = -2 + -12 Combine like terms: 12 + -12 = 0 0 + -7k = -2 + -12 -7k = -2 + -12 Combine like terms: -2 + -12 = -14 -7k = -14 Divide each side by '-7'. k = 2 Simplifying k = 2
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