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Simplifying -2 = k + 6 + -3k Reorder the terms: -2 = 6 + k + -3k Combine like terms: k + -3k = -2k -2 = 6 + -2k Solving -2 = 6 + -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. -2 + 2k = 6 + -2k + 2k Combine like terms: -2k + 2k = 0 -2 + 2k = 6 + 0 -2 + 2k = 6 Add '2' to each side of the equation. -2 + 2 + 2k = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 2k = 6 + 2 2k = 6 + 2 Combine like terms: 6 + 2 = 8 2k = 8 Divide each side by '2'. k = 4 Simplifying k = 4
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