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Simplifying 4.2k + 14.35 = 2.9k + -13.22 + 7.29 Reorder the terms: 14.35 + 4.2k = 2.9k + -13.22 + 7.29 Reorder the terms: 14.35 + 4.2k = -13.22 + 7.29 + 2.9k Combine like terms: -13.22 + 7.29 = -5.93 14.35 + 4.2k = -5.93 + 2.9k Solving 14.35 + 4.2k = -5.93 + 2.9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2.9k' to each side of the equation. 14.35 + 4.2k + -2.9k = -5.93 + 2.9k + -2.9k Combine like terms: 4.2k + -2.9k = 1.3k 14.35 + 1.3k = -5.93 + 2.9k + -2.9k Combine like terms: 2.9k + -2.9k = 0.0 14.35 + 1.3k = -5.93 + 0.0 14.35 + 1.3k = -5.93 Add '-14.35' to each side of the equation. 14.35 + -14.35 + 1.3k = -5.93 + -14.35 Combine like terms: 14.35 + -14.35 = 0.00 0.00 + 1.3k = -5.93 + -14.35 1.3k = -5.93 + -14.35 Combine like terms: -5.93 + -14.35 = -20.28 1.3k = -20.28 Divide each side by '1.3'. k = -15.6 Simplifying k = -15.6
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