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Simplifying 0.25k + -6 = 0.75k + 4 Reorder the terms: -6 + 0.25k = 0.75k + 4 Reorder the terms: -6 + 0.25k = 4 + 0.75k Solving -6 + 0.25k = 4 + 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. -6 + 0.25k + -0.75k = 4 + 0.75k + -0.75k Combine like terms: 0.25k + -0.75k = -0.5k -6 + -0.5k = 4 + 0.75k + -0.75k Combine like terms: 0.75k + -0.75k = 0.00 -6 + -0.5k = 4 + 0.00 -6 + -0.5k = 4 Add '6' to each side of the equation. -6 + 6 + -0.5k = 4 + 6 Combine like terms: -6 + 6 = 0 0 + -0.5k = 4 + 6 -0.5k = 4 + 6 Combine like terms: 4 + 6 = 10 -0.5k = 10 Divide each side by '-0.5'. k = -20 Simplifying k = -20
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