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Simplifying 4.8k + -4.18 = 4.6k + 2.5 Reorder the terms: -4.18 + 4.8k = 4.6k + 2.5 Reorder the terms: -4.18 + 4.8k = 2.5 + 4.6k Solving -4.18 + 4.8k = 2.5 + 4.6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4.6k' to each side of the equation. -4.18 + 4.8k + -4.6k = 2.5 + 4.6k + -4.6k Combine like terms: 4.8k + -4.6k = 0.2k -4.18 + 0.2k = 2.5 + 4.6k + -4.6k Combine like terms: 4.6k + -4.6k = 0.0 -4.18 + 0.2k = 2.5 + 0.0 -4.18 + 0.2k = 2.5 Add '4.18' to each side of the equation. -4.18 + 4.18 + 0.2k = 2.5 + 4.18 Combine like terms: -4.18 + 4.18 = 0.00 0.00 + 0.2k = 2.5 + 4.18 0.2k = 2.5 + 4.18 Combine like terms: 2.5 + 4.18 = 6.68 0.2k = 6.68 Divide each side by '0.2'. k = 33.4 Simplifying k = 33.4
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