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Simplifying k + -2 = 8 + 3k Reorder the terms: -2 + k = 8 + 3k Solving -2 + k = 8 + 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 + k + -3k = 8 + 3k + -3k Combine like terms: k + -3k = -2k -2 + -2k = 8 + 3k + -3k Combine like terms: 3k + -3k = 0 -2 + -2k = 8 + 0 -2 + -2k = 8 Add '2' to each side of the equation. -2 + 2 + -2k = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -2k = 8 + 2 -2k = 8 + 2 Combine like terms: 8 + 2 = 10 -2k = 10 Divide each side by '-2'. k = -5 Simplifying k = -5
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