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