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Simplifying 3k + 4.1 = 4.1k + -0.52 Reorder the terms: 4.1 + 3k = 4.1k + -0.52 Reorder the terms: 4.1 + 3k = -0.52 + 4.1k Solving 4.1 + 3k = -0.52 + 4.1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4.1k' to each side of the equation. 4.1 + 3k + -4.1k = -0.52 + 4.1k + -4.1k Combine like terms: 3k + -4.1k = -1.1k 4.1 + -1.1k = -0.52 + 4.1k + -4.1k Combine like terms: 4.1k + -4.1k = 0.0 4.1 + -1.1k = -0.52 + 0.0 4.1 + -1.1k = -0.52 Add '-4.1' to each side of the equation. 4.1 + -4.1 + -1.1k = -0.52 + -4.1 Combine like terms: 4.1 + -4.1 = 0.0 0.0 + -1.1k = -0.52 + -4.1 -1.1k = -0.52 + -4.1 Combine like terms: -0.52 + -4.1 = -4.62 -1.1k = -4.62 Divide each side by '-1.1'. k = 4.2 Simplifying k = 4.2
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