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Simplifying 6k + -2 = 4 + 8k + -3k Reorder the terms: -2 + 6k = 4 + 8k + -3k Combine like terms: 8k + -3k = 5k -2 + 6k = 4 + 5k Solving -2 + 6k = 4 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. -2 + 6k + -5k = 4 + 5k + -5k Combine like terms: 6k + -5k = 1k -2 + 1k = 4 + 5k + -5k Combine like terms: 5k + -5k = 0 -2 + 1k = 4 + 0 -2 + 1k = 4 Add '2' to each side of the equation. -2 + 2 + 1k = 4 + 2 Combine like terms: -2 + 2 = 0 0 + 1k = 4 + 2 1k = 4 + 2 Combine like terms: 4 + 2 = 6 1k = 6 Divide each side by '1'. k = 6 Simplifying k = 6
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