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Simplifying -8.1 + 3k = 2 + 5k Solving -8.1 + 3k = 2 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. -8.1 + 3k + -5k = 2 + 5k + -5k Combine like terms: 3k + -5k = -2k -8.1 + -2k = 2 + 5k + -5k Combine like terms: 5k + -5k = 0 -8.1 + -2k = 2 + 0 -8.1 + -2k = 2 Add '8.1' to each side of the equation. -8.1 + 8.1 + -2k = 2 + 8.1 Combine like terms: -8.1 + 8.1 = 0.0 0.0 + -2k = 2 + 8.1 -2k = 2 + 8.1 Combine like terms: 2 + 8.1 = 10.1 -2k = 10.1 Divide each side by '-2'. k = -5.05 Simplifying k = -5.05
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