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Simplifying 2(10 + 2e) = 9(1 + -2e) (10 * 2 + 2e * 2) = 9(1 + -2e) (20 + 4e) = 9(1 + -2e) 20 + 4e = (1 * 9 + -2e * 9) 20 + 4e = (9 + -18e) Solving 20 + 4e = 9 + -18e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '18e' to each side of the equation. 20 + 4e + 18e = 9 + -18e + 18e Combine like terms: 4e + 18e = 22e 20 + 22e = 9 + -18e + 18e Combine like terms: -18e + 18e = 0 20 + 22e = 9 + 0 20 + 22e = 9 Add '-20' to each side of the equation. 20 + -20 + 22e = 9 + -20 Combine like terms: 20 + -20 = 0 0 + 22e = 9 + -20 22e = 9 + -20 Combine like terms: 9 + -20 = -11 22e = -11 Divide each side by '22'. e = -0.5 Simplifying e = -0.5
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