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Simplifying 3k + -5.2 = 10.8 + -5k Reorder the terms: -5.2 + 3k = 10.8 + -5k Solving -5.2 + 3k = 10.8 + -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. -5.2 + 3k + 5k = 10.8 + -5k + 5k Combine like terms: 3k + 5k = 8k -5.2 + 8k = 10.8 + -5k + 5k Combine like terms: -5k + 5k = 0 -5.2 + 8k = 10.8 + 0 -5.2 + 8k = 10.8 Add '5.2' to each side of the equation. -5.2 + 5.2 + 8k = 10.8 + 5.2 Combine like terms: -5.2 + 5.2 = 0.0 0.0 + 8k = 10.8 + 5.2 8k = 10.8 + 5.2 Combine like terms: 10.8 + 5.2 = 16 8k = 16 Divide each side by '8'. k = 2 Simplifying k = 2
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