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Simplifying -2 + 3k + -2 = 2k + 4 + 4 Reorder the terms: -2 + -2 + 3k = 2k + 4 + 4 Combine like terms: -2 + -2 = -4 -4 + 3k = 2k + 4 + 4 Reorder the terms: -4 + 3k = 4 + 4 + 2k Combine like terms: 4 + 4 = 8 -4 + 3k = 8 + 2k Solving -4 + 3k = 8 + 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. -4 + 3k + -2k = 8 + 2k + -2k Combine like terms: 3k + -2k = 1k -4 + 1k = 8 + 2k + -2k Combine like terms: 2k + -2k = 0 -4 + 1k = 8 + 0 -4 + 1k = 8 Add '4' to each side of the equation. -4 + 4 + 1k = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 1k = 8 + 4 1k = 8 + 4 Combine like terms: 8 + 4 = 12 1k = 12 Divide each side by '1'. k = 12 Simplifying k = 12
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