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Simplifying (1.2k + 6) = 7.1k + 34.4 Reorder the terms: (6 + 1.2k) = 7.1k + 34.4 Remove parenthesis around (6 + 1.2k) 6 + 1.2k = 7.1k + 34.4 Reorder the terms: 6 + 1.2k = 34.4 + 7.1k Solving 6 + 1.2k = 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 + 1.2k + -7.1k = 34.4 + 7.1k + -7.1k Combine like terms: 1.2k + -7.1k = -5.9k 6 + -5.9k = 34.4 + 7.1k + -7.1k Combine like terms: 7.1k + -7.1k = 0.0 6 + -5.9k = 34.4 + 0.0 6 + -5.9k = 34.4 Add '-6' to each side of the equation. 6 + -6 + -5.9k = 34.4 + -6 Combine like terms: 6 + -6 = 0 0 + -5.9k = 34.4 + -6 -5.9k = 34.4 + -6 Combine like terms: 34.4 + -6 = 28.4 -5.9k = 28.4 Divide each side by '-5.9'. k = -4.813559322 Simplifying k = -4.813559322
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