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Simplifying 0.5k + 2 = 5 + 0.83k Reorder the terms: 2 + 0.5k = 5 + 0.83k Solving 2 + 0.5k = 5 + 0.83k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.83k' to each side of the equation. 2 + 0.5k + -0.83k = 5 + 0.83k + -0.83k Combine like terms: 0.5k + -0.83k = -0.33k 2 + -0.33k = 5 + 0.83k + -0.83k Combine like terms: 0.83k + -0.83k = 0.00 2 + -0.33k = 5 + 0.00 2 + -0.33k = 5 Add '-2' to each side of the equation. 2 + -2 + -0.33k = 5 + -2 Combine like terms: 2 + -2 = 0 0 + -0.33k = 5 + -2 -0.33k = 5 + -2 Combine like terms: 5 + -2 = 3 -0.33k = 3 Divide each side by '-0.33'. k = -9.090909091 Simplifying k = -9.090909091
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