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Simplifying 5k + 9.7 = 4.9k + 9.96 Reorder the terms: 9.7 + 5k = 4.9k + 9.96 Reorder the terms: 9.7 + 5k = 9.96 + 4.9k Solving 9.7 + 5k = 9.96 + 4.9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4.9k' to each side of the equation. 9.7 + 5k + -4.9k = 9.96 + 4.9k + -4.9k Combine like terms: 5k + -4.9k = 0.1k 9.7 + 0.1k = 9.96 + 4.9k + -4.9k Combine like terms: 4.9k + -4.9k = 0.0 9.7 + 0.1k = 9.96 + 0.0 9.7 + 0.1k = 9.96 Add '-9.7' to each side of the equation. 9.7 + -9.7 + 0.1k = 9.96 + -9.7 Combine like terms: 9.7 + -9.7 = 0.0 0.0 + 0.1k = 9.96 + -9.7 0.1k = 9.96 + -9.7 Combine like terms: 9.96 + -9.7 = 0.26 0.1k = 0.26 Divide each side by '0.1'. k = 2.6 Simplifying k = 2.6
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