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Simplifying 5(1 + -2e) = 11(e + -2) (1 * 5 + -2e * 5) = 11(e + -2) (5 + -10e) = 11(e + -2) Reorder the terms: 5 + -10e = 11(-2 + e) 5 + -10e = (-2 * 11 + e * 11) 5 + -10e = (-22 + 11e) Solving 5 + -10e = -22 + 11e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-11e' to each side of the equation. 5 + -10e + -11e = -22 + 11e + -11e Combine like terms: -10e + -11e = -21e 5 + -21e = -22 + 11e + -11e Combine like terms: 11e + -11e = 0 5 + -21e = -22 + 0 5 + -21e = -22 Add '-5' to each side of the equation. 5 + -5 + -21e = -22 + -5 Combine like terms: 5 + -5 = 0 0 + -21e = -22 + -5 -21e = -22 + -5 Combine like terms: -22 + -5 = -27 -21e = -27 Divide each side by '-21'. e = 1.285714286 Simplifying e = 1.285714286
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