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Simplifying -8.82 + 0.1k = -4.9k + 2.9k Combine like terms: -4.9k + 2.9k = -2k -8.82 + 0.1k = -2k Solving -8.82 + 0.1k = -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. -8.82 + 0.1k + 2k = -2k + 2k Combine like terms: 0.1k + 2k = 2.1k -8.82 + 2.1k = -2k + 2k Combine like terms: -2k + 2k = 0 -8.82 + 2.1k = 0 Add '8.82' to each side of the equation. -8.82 + 8.82 + 2.1k = 0 + 8.82 Combine like terms: -8.82 + 8.82 = 0.00 0.00 + 2.1k = 0 + 8.82 2.1k = 0 + 8.82 Combine like terms: 0 + 8.82 = 8.82 2.1k = 8.82 Divide each side by '2.1'. k = 4.2 Simplifying k = 4.2
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