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Simplifying 0.5k + -0.66 + k = 1.1666 Reorder the terms: -0.66 + 0.5k + k = 1.1666 Combine like terms: 0.5k + k = 1.5k -0.66 + 1.5k = 1.1666 Solving -0.66 + 1.5k = 1.1666 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.66' to each side of the equation. -0.66 + 0.66 + 1.5k = 1.1666 + 0.66 Combine like terms: -0.66 + 0.66 = 0.00 0.00 + 1.5k = 1.1666 + 0.66 1.5k = 1.1666 + 0.66 Combine like terms: 1.1666 + 0.66 = 1.8266 1.5k = 1.8266 Divide each side by '1.5'. k = 1.217733333 Simplifying k = 1.217733333
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