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