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Simplifying 0.8 + 7 = -0.7k + 1 Combine like terms: 0.8 + 7 = 7.8 7.8 = -0.7k + 1 Reorder the terms: 7.8 = 1 + -0.7k Solving 7.8 = 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. 7.8 + 0.7k = 1 + -0.7k + 0.7k Combine like terms: -0.7k + 0.7k = 0.0 7.8 + 0.7k = 1 + 0.0 7.8 + 0.7k = 1 Add '-7.8' to each side of the equation. 7.8 + -7.8 + 0.7k = 1 + -7.8 Combine like terms: 7.8 + -7.8 = 0.0 0.0 + 0.7k = 1 + -7.8 0.7k = 1 + -7.8 Combine like terms: 1 + -7.8 = -6.8 0.7k = -6.8 Divide each side by '0.7'. k = -9.714285714 Simplifying k = -9.714285714
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