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Simplifying 0.25k + 1.5k + -1k + -3.5 = 0 Reorder the terms: -3.5 + 0.25k + 1.5k + -1k = 0 Combine like terms: 0.25k + 1.5k = 1.75k -3.5 + 1.75k + -1k = 0 Combine like terms: 1.75k + -1k = 0.75k -3.5 + 0.75k = 0 Solving -3.5 + 0.75k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3.5' to each side of the equation. -3.5 + 3.5 + 0.75k = 0 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + 0.75k = 0 + 3.5 0.75k = 0 + 3.5 Combine like terms: 0 + 3.5 = 3.5 0.75k = 3.5 Divide each side by '0.75'. k = 4.666666667 Simplifying k = 4.666666667
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