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Simplifying 0.8k + 5.28 = 3.7k + -1.8 Reorder the terms: 5.28 + 0.8k = 3.7k + -1.8 Reorder the terms: 5.28 + 0.8k = -1.8 + 3.7k Solving 5.28 + 0.8k = -1.8 + 3.7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3.7k' to each side of the equation. 5.28 + 0.8k + -3.7k = -1.8 + 3.7k + -3.7k Combine like terms: 0.8k + -3.7k = -2.9k 5.28 + -2.9k = -1.8 + 3.7k + -3.7k Combine like terms: 3.7k + -3.7k = 0.0 5.28 + -2.9k = -1.8 + 0.0 5.28 + -2.9k = -1.8 Add '-5.28' to each side of the equation. 5.28 + -5.28 + -2.9k = -1.8 + -5.28 Combine like terms: 5.28 + -5.28 = 0.00 0.00 + -2.9k = -1.8 + -5.28 -2.9k = -1.8 + -5.28 Combine like terms: -1.8 + -5.28 = -7.08 -2.9k = -7.08 Divide each side by '-2.9'. k = 2.44137931 Simplifying k = 2.44137931
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