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Simplifying 0.66(5 + -4e) = 0.5(9 + -4e) (5 * 0.66 + -4e * 0.66) = 0.5(9 + -4e) (3.3 + -2.64e) = 0.5(9 + -4e) 3.3 + -2.64e = (9 * 0.5 + -4e * 0.5) 3.3 + -2.64e = (4.5 + -2e) Solving 3.3 + -2.64e = 4.5 + -2e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '2e' to each side of the equation. 3.3 + -2.64e + 2e = 4.5 + -2e + 2e Combine like terms: -2.64e + 2e = -0.64e 3.3 + -0.64e = 4.5 + -2e + 2e Combine like terms: -2e + 2e = 0 3.3 + -0.64e = 4.5 + 0 3.3 + -0.64e = 4.5 Add '-3.3' to each side of the equation. 3.3 + -3.3 + -0.64e = 4.5 + -3.3 Combine like terms: 3.3 + -3.3 = 0.0 0.0 + -0.64e = 4.5 + -3.3 -0.64e = 4.5 + -3.3 Combine like terms: 4.5 + -3.3 = 1.2 -0.64e = 1.2 Divide each side by '-0.64'. e = -1.875 Simplifying e = -1.875
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