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Simplifying 2.50 + 3.50k = 5.50 + 2.00k Solving 2.50 + 3.50k = 5.50 + 2.00k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2.00k' to each side of the equation. 2.50 + 3.50k + -2.00k = 5.50 + 2.00k + -2.00k Combine like terms: 3.50k + -2.00k = 1.5k 2.50 + 1.5k = 5.50 + 2.00k + -2.00k Combine like terms: 2.00k + -2.00k = 0.00 2.50 + 1.5k = 5.50 + 0.00 2.50 + 1.5k = 5.50 Add '-2.50' to each side of the equation. 2.50 + -2.50 + 1.5k = 5.50 + -2.50 Combine like terms: 2.50 + -2.50 = 0.00 0.00 + 1.5k = 5.50 + -2.50 1.5k = 5.50 + -2.50 Combine like terms: 5.50 + -2.50 = 3 1.5k = 3 Divide each side by '1.5'. k = 2 Simplifying k = 2
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