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Simplifying 2 + 2k = 8k + 3 + -6 Reorder the terms: 2 + 2k = 3 + -6 + 8k Combine like terms: 3 + -6 = -3 2 + 2k = -3 + 8k Solving 2 + 2k = -3 + 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. 2 + 2k + -8k = -3 + 8k + -8k Combine like terms: 2k + -8k = -6k 2 + -6k = -3 + 8k + -8k Combine like terms: 8k + -8k = 0 2 + -6k = -3 + 0 2 + -6k = -3 Add '-2' to each side of the equation. 2 + -2 + -6k = -3 + -2 Combine like terms: 2 + -2 = 0 0 + -6k = -3 + -2 -6k = -3 + -2 Combine like terms: -3 + -2 = -5 -6k = -5 Divide each side by '-6'. k = 0.8333333333 Simplifying k = 0.8333333333
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