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Simplifying 0.5k + -3 = 2 + -0.9k Reorder the terms: -3 + 0.5k = 2 + -0.9k Solving -3 + 0.5k = 2 + -0.9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.9k' to each side of the equation. -3 + 0.5k + 0.9k = 2 + -0.9k + 0.9k Combine like terms: 0.5k + 0.9k = 1.4k -3 + 1.4k = 2 + -0.9k + 0.9k Combine like terms: -0.9k + 0.9k = 0.0 -3 + 1.4k = 2 + 0.0 -3 + 1.4k = 2 Add '3' to each side of the equation. -3 + 3 + 1.4k = 2 + 3 Combine like terms: -3 + 3 = 0 0 + 1.4k = 2 + 3 1.4k = 2 + 3 Combine like terms: 2 + 3 = 5 1.4k = 5 Divide each side by '1.4'. k = 3.571428571 Simplifying k = 3.571428571
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