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Simplifying 5k + 2.4 = 3k + 1 Reorder the terms: 2.4 + 5k = 3k + 1 Reorder the terms: 2.4 + 5k = 1 + 3k Solving 2.4 + 5k = 1 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 2.4 + 5k + -3k = 1 + 3k + -3k Combine like terms: 5k + -3k = 2k 2.4 + 2k = 1 + 3k + -3k Combine like terms: 3k + -3k = 0 2.4 + 2k = 1 + 0 2.4 + 2k = 1 Add '-2.4' to each side of the equation. 2.4 + -2.4 + 2k = 1 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + 2k = 1 + -2.4 2k = 1 + -2.4 Combine like terms: 1 + -2.4 = -1.4 2k = -1.4 Divide each side by '2'. k = -0.7 Simplifying k = -0.7
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