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Simplifying 4k + -2 = 2k + 12 + -5k Reorder the terms: -2 + 4k = 2k + 12 + -5k Reorder the terms: -2 + 4k = 12 + 2k + -5k Combine like terms: 2k + -5k = -3k -2 + 4k = 12 + -3k Solving -2 + 4k = 12 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. -2 + 4k + 3k = 12 + -3k + 3k Combine like terms: 4k + 3k = 7k -2 + 7k = 12 + -3k + 3k Combine like terms: -3k + 3k = 0 -2 + 7k = 12 + 0 -2 + 7k = 12 Add '2' to each side of the equation. -2 + 2 + 7k = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 7k = 12 + 2 7k = 12 + 2 Combine like terms: 12 + 2 = 14 7k = 14 Divide each side by '7'. k = 2 Simplifying k = 2
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