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Simplifying 0.8 + 0.8k = 0.6k + 0.9k Combine like terms: 0.6k + 0.9k = 1.5k 0.8 + 0.8k = 1.5k Solving 0.8 + 0.8k = 1.5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1.5k' to each side of the equation. 0.8 + 0.8k + -1.5k = 1.5k + -1.5k Combine like terms: 0.8k + -1.5k = -0.7k 0.8 + -0.7k = 1.5k + -1.5k Combine like terms: 1.5k + -1.5k = 0.0 0.8 + -0.7k = 0.0 Add '-0.8' to each side of the equation. 0.8 + -0.8 + -0.7k = 0.0 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + -0.7k = 0.0 + -0.8 -0.7k = 0.0 + -0.8 Combine like terms: 0.0 + -0.8 = -0.8 -0.7k = -0.8 Divide each side by '-0.7'. k = 1.142857143 Simplifying k = 1.142857143
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