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Simplifying 8 + -2(3 + -4e) = 5(e + -4) 8 + (3 * -2 + -4e * -2) = 5(e + -4) 8 + (-6 + 8e) = 5(e + -4) Combine like terms: 8 + -6 = 2 2 + 8e = 5(e + -4) Reorder the terms: 2 + 8e = 5(-4 + e) 2 + 8e = (-4 * 5 + e * 5) 2 + 8e = (-20 + 5e) Solving 2 + 8e = -20 + 5e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-5e' to each side of the equation. 2 + 8e + -5e = -20 + 5e + -5e Combine like terms: 8e + -5e = 3e 2 + 3e = -20 + 5e + -5e Combine like terms: 5e + -5e = 0 2 + 3e = -20 + 0 2 + 3e = -20 Add '-2' to each side of the equation. 2 + -2 + 3e = -20 + -2 Combine like terms: 2 + -2 = 0 0 + 3e = -20 + -2 3e = -20 + -2 Combine like terms: -20 + -2 = -22 3e = -22 Divide each side by '3'. e = -7.333333333 Simplifying e = -7.333333333
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