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Simplifying 6 + 2k = -12 + 8k Solving 6 + 2k = -12 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 6 + 2k + -8k = -12 + 8k + -8k Combine like terms: 2k + -8k = -6k 6 + -6k = -12 + 8k + -8k Combine like terms: 8k + -8k = 0 6 + -6k = -12 + 0 6 + -6k = -12 Add '-6' to each side of the equation. 6 + -6 + -6k = -12 + -6 Combine like terms: 6 + -6 = 0 0 + -6k = -12 + -6 -6k = -12 + -6 Combine like terms: -12 + -6 = -18 -6k = -18 Divide each side by '-6'. k = 3 Simplifying k = 3
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