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Simplifying 0.5k + -3 = 0.75k Reorder the terms: -3 + 0.5k = 0.75k Solving -3 + 0.5k = 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 = 0.75k + -0.75k Combine like terms: 0.5k + -0.75k = -0.25k -3 + -0.25k = 0.75k + -0.75k Combine like terms: 0.75k + -0.75k = 0.00 -3 + -0.25k = 0.00 Add '3' to each side of the equation. -3 + 3 + -0.25k = 0.00 + 3 Combine like terms: -3 + 3 = 0 0 + -0.25k = 0.00 + 3 -0.25k = 0.00 + 3 Combine like terms: 0.00 + 3 = 3 -0.25k = 3 Divide each side by '-0.25'. k = -12 Simplifying k = -12
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