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Simplifying 0.8k + 7 = 0.7k + 1 Reorder the terms: 7 + 0.8k = 0.7k + 1 Reorder the terms: 7 + 0.8k = 1 + 0.7k Solving 7 + 0.8k = 1 + 0.7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.7k' to each side of the equation. 7 + 0.8k + -0.7k = 1 + 0.7k + -0.7k Combine like terms: 0.8k + -0.7k = 0.1k 7 + 0.1k = 1 + 0.7k + -0.7k Combine like terms: 0.7k + -0.7k = 0.0 7 + 0.1k = 1 + 0.0 7 + 0.1k = 1 Add '-7' to each side of the equation. 7 + -7 + 0.1k = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 0.1k = 1 + -7 0.1k = 1 + -7 Combine like terms: 1 + -7 = -6 0.1k = -6 Divide each side by '0.1'. k = -60 Simplifying k = -60
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