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Simplifying 0.5k + -3 = 2 + -0.75k Reorder the terms: -3 + 0.5k = 2 + -0.75k Solving -3 + 0.5k = 2 + -0.75k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.75k' to each side of the equation. -3 + 0.5k + 0.75k = 2 + -0.75k + 0.75k Combine like terms: 0.5k + 0.75k = 1.25k -3 + 1.25k = 2 + -0.75k + 0.75k Combine like terms: -0.75k + 0.75k = 0.00 -3 + 1.25k = 2 + 0.00 -3 + 1.25k = 2 Add '3' to each side of the equation. -3 + 3 + 1.25k = 2 + 3 Combine like terms: -3 + 3 = 0 0 + 1.25k = 2 + 3 1.25k = 2 + 3 Combine like terms: 2 + 3 = 5 1.25k = 5 Divide each side by '1.25'. k = 4 Simplifying k = 4
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