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Simplifying 75 + -9e = 5(4r + 2e) Reorder the terms: 75 + -9e = 5(2e + 4r) 75 + -9e = (2e * 5 + 4r * 5) 75 + -9e = (10e + 20r) Solving 75 + -9e = 10e + 20r Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-10e' to each side of the equation. 75 + -9e + -10e = 10e + -10e + 20r Combine like terms: -9e + -10e = -19e 75 + -19e = 10e + -10e + 20r Combine like terms: 10e + -10e = 0 75 + -19e = 0 + 20r 75 + -19e = 20r Add '-75' to each side of the equation. 75 + -75 + -19e = -75 + 20r Combine like terms: 75 + -75 = 0 0 + -19e = -75 + 20r -19e = -75 + 20r Divide each side by '-19'. e = 3.947368421 + -1.052631579r Simplifying e = 3.947368421 + -1.052631579r
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