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Simplifying 2k + 8 = 32 + -6k Reorder the terms: 8 + 2k = 32 + -6k Solving 8 + 2k = 32 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. 8 + 2k + 6k = 32 + -6k + 6k Combine like terms: 2k + 6k = 8k 8 + 8k = 32 + -6k + 6k Combine like terms: -6k + 6k = 0 8 + 8k = 32 + 0 8 + 8k = 32 Add '-8' to each side of the equation. 8 + -8 + 8k = 32 + -8 Combine like terms: 8 + -8 = 0 0 + 8k = 32 + -8 8k = 32 + -8 Combine like terms: 32 + -8 = 24 8k = 24 Divide each side by '8'. k = 3 Simplifying k = 3
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