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Simplifying 5k + -2 = -8k + 3 + 3k Reorder the terms: -2 + 5k = -8k + 3 + 3k Reorder the terms: -2 + 5k = 3 + -8k + 3k Combine like terms: -8k + 3k = -5k -2 + 5k = 3 + -5k Solving -2 + 5k = 3 + -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 + 5k + 5k = 3 + -5k + 5k Combine like terms: 5k + 5k = 10k -2 + 10k = 3 + -5k + 5k Combine like terms: -5k + 5k = 0 -2 + 10k = 3 + 0 -2 + 10k = 3 Add '2' to each side of the equation. -2 + 2 + 10k = 3 + 2 Combine like terms: -2 + 2 = 0 0 + 10k = 3 + 2 10k = 3 + 2 Combine like terms: 3 + 2 = 5 10k = 5 Divide each side by '10'. k = 0.5 Simplifying k = 0.5
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