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