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