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Simplifying 3.2k + -6.25 = 2.7k + 8.9 Reorder the terms: -6.25 + 3.2k = 2.7k + 8.9 Reorder the terms: -6.25 + 3.2k = 8.9 + 2.7k Solving -6.25 + 3.2k = 8.9 + 2.7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2.7k' to each side of the equation. -6.25 + 3.2k + -2.7k = 8.9 + 2.7k + -2.7k Combine like terms: 3.2k + -2.7k = 0.5k -6.25 + 0.5k = 8.9 + 2.7k + -2.7k Combine like terms: 2.7k + -2.7k = 0.0 -6.25 + 0.5k = 8.9 + 0.0 -6.25 + 0.5k = 8.9 Add '6.25' to each side of the equation. -6.25 + 6.25 + 0.5k = 8.9 + 6.25 Combine like terms: -6.25 + 6.25 = 0.00 0.00 + 0.5k = 8.9 + 6.25 0.5k = 8.9 + 6.25 Combine like terms: 8.9 + 6.25 = 15.15 0.5k = 15.15 Divide each side by '0.5'. k = 30.3 Simplifying k = 30.3
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