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Simplifying 2(1 + -5e) = 3(5e + -1) (1 * 2 + -5e * 2) = 3(5e + -1) (2 + -10e) = 3(5e + -1) Reorder the terms: 2 + -10e = 3(-1 + 5e) 2 + -10e = (-1 * 3 + 5e * 3) 2 + -10e = (-3 + 15e) Solving 2 + -10e = -3 + 15e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-15e' to each side of the equation. 2 + -10e + -15e = -3 + 15e + -15e Combine like terms: -10e + -15e = -25e 2 + -25e = -3 + 15e + -15e Combine like terms: 15e + -15e = 0 2 + -25e = -3 + 0 2 + -25e = -3 Add '-2' to each side of the equation. 2 + -2 + -25e = -3 + -2 Combine like terms: 2 + -2 = 0 0 + -25e = -3 + -2 -25e = -3 + -2 Combine like terms: -3 + -2 = -5 -25e = -5 Divide each side by '-25'. e = 0.2 Simplifying e = 0.2
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