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Simplifying 199 + 0.2k = 149 + 0.25k Solving 199 + 0.2k = 149 + 0.25k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.25k' to each side of the equation. 199 + 0.2k + -0.25k = 149 + 0.25k + -0.25k Combine like terms: 0.2k + -0.25k = -0.05k 199 + -0.05k = 149 + 0.25k + -0.25k Combine like terms: 0.25k + -0.25k = 0.00 199 + -0.05k = 149 + 0.00 199 + -0.05k = 149 Add '-199' to each side of the equation. 199 + -199 + -0.05k = 149 + -199 Combine like terms: 199 + -199 = 0 0 + -0.05k = 149 + -199 -0.05k = 149 + -199 Combine like terms: 149 + -199 = -50 -0.05k = -50 Divide each side by '-0.05'. k = 1000 Simplifying k = 1000
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