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Simplifying 0.75k + -5 = 0.25 + -1 Reorder the terms: -5 + 0.75k = 0.25 + -1 Combine like terms: 0.25 + -1 = -0.75 -5 + 0.75k = -0.75 Solving -5 + 0.75k = -0.75 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 0.75k = -0.75 + 5 Combine like terms: -5 + 5 = 0 0 + 0.75k = -0.75 + 5 0.75k = -0.75 + 5 Combine like terms: -0.75 + 5 = 4.25 0.75k = 4.25 Divide each side by '0.75'. k = 5.666666667 Simplifying k = 5.666666667
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