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Simplifying 2.5k + -3.4 = 4.2 + 2.3k Reorder the terms: -3.4 + 2.5k = 4.2 + 2.3k Solving -3.4 + 2.5k = 4.2 + 2.3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2.3k' to each side of the equation. -3.4 + 2.5k + -2.3k = 4.2 + 2.3k + -2.3k Combine like terms: 2.5k + -2.3k = 0.2k -3.4 + 0.2k = 4.2 + 2.3k + -2.3k Combine like terms: 2.3k + -2.3k = 0.0 -3.4 + 0.2k = 4.2 + 0.0 -3.4 + 0.2k = 4.2 Add '3.4' to each side of the equation. -3.4 + 3.4 + 0.2k = 4.2 + 3.4 Combine like terms: -3.4 + 3.4 = 0.0 0.0 + 0.2k = 4.2 + 3.4 0.2k = 4.2 + 3.4 Combine like terms: 4.2 + 3.4 = 7.6 0.2k = 7.6 Divide each side by '0.2'. k = 38 Simplifying k = 38
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