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Simplifying 3k + -6k + -2 = k + 2 Reorder the terms: -2 + 3k + -6k = k + 2 Combine like terms: 3k + -6k = -3k -2 + -3k = k + 2 Reorder the terms: -2 + -3k = 2 + k Solving -2 + -3k = 2 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -2 + -3k + -1k = 2 + k + -1k Combine like terms: -3k + -1k = -4k -2 + -4k = 2 + k + -1k Combine like terms: k + -1k = 0 -2 + -4k = 2 + 0 -2 + -4k = 2 Add '2' to each side of the equation. -2 + 2 + -4k = 2 + 2 Combine like terms: -2 + 2 = 0 0 + -4k = 2 + 2 -4k = 2 + 2 Combine like terms: 2 + 2 = 4 -4k = 4 Divide each side by '-4'. k = -1 Simplifying k = -1
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