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Simplifying 0.6(25k + -7.5k) + 95 = 20.0 Combine like terms: 25k + -7.5k = 17.5k 0.6(17.5k) + 95 = 20.0 Remove parenthesis around (17.5k) 0.6 * 17.5k + 95 = 20.0 Multiply 0.6 * 17.5 10.5k + 95 = 20.0 Reorder the terms: 95 + 10.5k = 20.0 Solving 95 + 10.5k = 20.0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-95' to each side of the equation. 95 + -95 + 10.5k = 20.0 + -95 Combine like terms: 95 + -95 = 0 0 + 10.5k = 20.0 + -95 10.5k = 20.0 + -95 Combine like terms: 20.0 + -95 = -75 10.5k = -75 Divide each side by '10.5'. k = -7.142857143 Simplifying k = -7.142857143
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