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Simplifying -1.79 + -7.1k = 3.11 + -7.8k Solving -1.79 + -7.1k = 3.11 + -7.8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7.8k' to each side of the equation. -1.79 + -7.1k + 7.8k = 3.11 + -7.8k + 7.8k Combine like terms: -7.1k + 7.8k = 0.7k -1.79 + 0.7k = 3.11 + -7.8k + 7.8k Combine like terms: -7.8k + 7.8k = 0.0 -1.79 + 0.7k = 3.11 + 0.0 -1.79 + 0.7k = 3.11 Add '1.79' to each side of the equation. -1.79 + 1.79 + 0.7k = 3.11 + 1.79 Combine like terms: -1.79 + 1.79 = 0.00 0.00 + 0.7k = 3.11 + 1.79 0.7k = 3.11 + 1.79 Combine like terms: 3.11 + 1.79 = 4.9 0.7k = 4.9 Divide each side by '0.7'. k = 7 Simplifying k = 7
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