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