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Simplifying -12 + 7k = 2k + -2 Reorder the terms: -12 + 7k = -2 + 2k Solving -12 + 7k = -2 + 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 = -2 + 2k + -2k Combine like terms: 7k + -2k = 5k -12 + 5k = -2 + 2k + -2k Combine like terms: 2k + -2k = 0 -12 + 5k = -2 + 0 -12 + 5k = -2 Add '12' to each side of the equation. -12 + 12 + 5k = -2 + 12 Combine like terms: -12 + 12 = 0 0 + 5k = -2 + 12 5k = -2 + 12 Combine like terms: -2 + 12 = 10 5k = 10 Divide each side by '5'. k = 2 Simplifying k = 2
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