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Simplifying (6k + 6) = 7.1k + 34.4 Reorder the terms: (6 + 6k) = 7.1k + 34.4 Remove parenthesis around (6 + 6k) 6 + 6k = 7.1k + 34.4 Reorder the terms: 6 + 6k = 34.4 + 7.1k Solving 6 + 6k = 34.4 + 7.1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7.1k' to each side of the equation. 6 + 6k + -7.1k = 34.4 + 7.1k + -7.1k Combine like terms: 6k + -7.1k = -1.1k 6 + -1.1k = 34.4 + 7.1k + -7.1k Combine like terms: 7.1k + -7.1k = 0.0 6 + -1.1k = 34.4 + 0.0 6 + -1.1k = 34.4 Add '-6' to each side of the equation. 6 + -6 + -1.1k = 34.4 + -6 Combine like terms: 6 + -6 = 0 0 + -1.1k = 34.4 + -6 -1.1k = 34.4 + -6 Combine like terms: 34.4 + -6 = 28.4 -1.1k = 28.4 Divide each side by '-1.1'. k = -25.81818182 Simplifying k = -25.81818182
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