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Simplifying 4k + 8.8 = 4.1k + 7.99 Reorder the terms: 8.8 + 4k = 4.1k + 7.99 Reorder the terms: 8.8 + 4k = 7.99 + 4.1k Solving 8.8 + 4k = 7.99 + 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. 8.8 + 4k + -4.1k = 7.99 + 4.1k + -4.1k Combine like terms: 4k + -4.1k = -0.1k 8.8 + -0.1k = 7.99 + 4.1k + -4.1k Combine like terms: 4.1k + -4.1k = 0.0 8.8 + -0.1k = 7.99 + 0.0 8.8 + -0.1k = 7.99 Add '-8.8' to each side of the equation. 8.8 + -8.8 + -0.1k = 7.99 + -8.8 Combine like terms: 8.8 + -8.8 = 0.0 0.0 + -0.1k = 7.99 + -8.8 -0.1k = 7.99 + -8.8 Combine like terms: 7.99 + -8.8 = -0.81 -0.1k = -0.81 Divide each side by '-0.1'. k = 8.1 Simplifying k = 8.1
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