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Simplifying 5.1k + -4.15 = 4.6k + 7.8 Reorder the terms: -4.15 + 5.1k = 4.6k + 7.8 Reorder the terms: -4.15 + 5.1k = 7.8 + 4.6k Solving -4.15 + 5.1k = 7.8 + 4.6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4.6k' to each side of the equation. -4.15 + 5.1k + -4.6k = 7.8 + 4.6k + -4.6k Combine like terms: 5.1k + -4.6k = 0.5k -4.15 + 0.5k = 7.8 + 4.6k + -4.6k Combine like terms: 4.6k + -4.6k = 0.0 -4.15 + 0.5k = 7.8 + 0.0 -4.15 + 0.5k = 7.8 Add '4.15' to each side of the equation. -4.15 + 4.15 + 0.5k = 7.8 + 4.15 Combine like terms: -4.15 + 4.15 = 0.00 0.00 + 0.5k = 7.8 + 4.15 0.5k = 7.8 + 4.15 Combine like terms: 7.8 + 4.15 = 11.95 0.5k = 11.95 Divide each side by '0.5'. k = 23.9 Simplifying k = 23.9
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