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Simplifying 3k + 3.7 = 5k + -2.5 Reorder the terms: 3.7 + 3k = 5k + -2.5 Reorder the terms: 3.7 + 3k = -2.5 + 5k Solving 3.7 + 3k = -2.5 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 3.7 + 3k + -5k = -2.5 + 5k + -5k Combine like terms: 3k + -5k = -2k 3.7 + -2k = -2.5 + 5k + -5k Combine like terms: 5k + -5k = 0 3.7 + -2k = -2.5 + 0 3.7 + -2k = -2.5 Add '-3.7' to each side of the equation. 3.7 + -3.7 + -2k = -2.5 + -3.7 Combine like terms: 3.7 + -3.7 = 0.0 0.0 + -2k = -2.5 + -3.7 -2k = -2.5 + -3.7 Combine like terms: -2.5 + -3.7 = -6.2 -2k = -6.2 Divide each side by '-2'. k = 3.1 Simplifying k = 3.1
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