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Simplifying 2.1k + -50 = 7.3k + -39.6 Reorder the terms: -50 + 2.1k = 7.3k + -39.6 Reorder the terms: -50 + 2.1k = -39.6 + 7.3k Solving -50 + 2.1k = -39.6 + 7.3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7.3k' to each side of the equation. -50 + 2.1k + -7.3k = -39.6 + 7.3k + -7.3k Combine like terms: 2.1k + -7.3k = -5.2k -50 + -5.2k = -39.6 + 7.3k + -7.3k Combine like terms: 7.3k + -7.3k = 0.0 -50 + -5.2k = -39.6 + 0.0 -50 + -5.2k = -39.6 Add '50' to each side of the equation. -50 + 50 + -5.2k = -39.6 + 50 Combine like terms: -50 + 50 = 0 0 + -5.2k = -39.6 + 50 -5.2k = -39.6 + 50 Combine like terms: -39.6 + 50 = 10.4 -5.2k = 10.4 Divide each side by '-5.2'. k = -2 Simplifying k = -2
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