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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 = 1e 5 + 1e = 22 + -11e + 11e Combine like terms: -11e + 11e = 0 5 + 1e = 22 + 0 5 + 1e = 22 Add '-5' to each side of the equation. 5 + -5 + 1e = 22 + -5 Combine like terms: 5 + -5 = 0 0 + 1e = 22 + -5 1e = 22 + -5 Combine like terms: 22 + -5 = 17 1e = 17 Divide each side by '1'. e = 17 Simplifying e = 17
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