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Simplifying 0.5k + -3 = 2 + -0.75x Reorder the terms: -3 + 0.5k = 2 + -0.75x Solving -3 + 0.5k = 2 + -0.75x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 0.5k = 2 + 3 + -0.75x Combine like terms: -3 + 3 = 0 0 + 0.5k = 2 + 3 + -0.75x 0.5k = 2 + 3 + -0.75x Combine like terms: 2 + 3 = 5 0.5k = 5 + -0.75x Divide each side by '0.5'. k = 10 + -1.5x Simplifying k = 10 + -1.5x
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