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Simplifying 3k + -5.2 = 4.1k + -10.92 Reorder the terms: -5.2 + 3k = 4.1k + -10.92 Reorder the terms: -5.2 + 3k = -10.92 + 4.1k Solving -5.2 + 3k = -10.92 + 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. -5.2 + 3k + -4.1k = -10.92 + 4.1k + -4.1k Combine like terms: 3k + -4.1k = -1.1k -5.2 + -1.1k = -10.92 + 4.1k + -4.1k Combine like terms: 4.1k + -4.1k = 0.0 -5.2 + -1.1k = -10.92 + 0.0 -5.2 + -1.1k = -10.92 Add '5.2' to each side of the equation. -5.2 + 5.2 + -1.1k = -10.92 + 5.2 Combine like terms: -5.2 + 5.2 = 0.0 0.0 + -1.1k = -10.92 + 5.2 -1.1k = -10.92 + 5.2 Combine like terms: -10.92 + 5.2 = -5.72 -1.1k = -5.72 Divide each side by '-1.1'. k = 5.2 Simplifying k = 5.2
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