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Simplifying 0.125k + -4 = 0.375k + 2 Reorder the terms: -4 + 0.125k = 0.375k + 2 Reorder the terms: -4 + 0.125k = 2 + 0.375k Solving -4 + 0.125k = 2 + 0.375k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.375k' to each side of the equation. -4 + 0.125k + -0.375k = 2 + 0.375k + -0.375k Combine like terms: 0.125k + -0.375k = -0.25k -4 + -0.25k = 2 + 0.375k + -0.375k Combine like terms: 0.375k + -0.375k = 0.000 -4 + -0.25k = 2 + 0.000 -4 + -0.25k = 2 Add '4' to each side of the equation. -4 + 4 + -0.25k = 2 + 4 Combine like terms: -4 + 4 = 0 0 + -0.25k = 2 + 4 -0.25k = 2 + 4 Combine like terms: 2 + 4 = 6 -0.25k = 6 Divide each side by '-0.25'. k = -24 Simplifying k = -24
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