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Simplifying 0.25k + 1.5 + -1k + -3.5 = 0 Reorder the terms: 1.5 + -3.5 + 0.25k + -1k = 0 Combine like terms: 1.5 + -3.5 = -2 -2 + 0.25k + -1k = 0 Combine like terms: 0.25k + -1k = -0.75k -2 + -0.75k = 0 Solving -2 + -0.75k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -0.75k = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -0.75k = 0 + 2 -0.75k = 0 + 2 Combine like terms: 0 + 2 = 2 -0.75k = 2 Divide each side by '-0.75'. k = -2.666666667 Simplifying k = -2.666666667
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