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Simplifying 2(e + -4) = 4(2e + 3) Reorder the terms: 2(-4 + e) = 4(2e + 3) (-4 * 2 + e * 2) = 4(2e + 3) (-8 + 2e) = 4(2e + 3) Reorder the terms: -8 + 2e = 4(3 + 2e) -8 + 2e = (3 * 4 + 2e * 4) -8 + 2e = (12 + 8e) Solving -8 + 2e = 12 + 8e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-8e' to each side of the equation. -8 + 2e + -8e = 12 + 8e + -8e Combine like terms: 2e + -8e = -6e -8 + -6e = 12 + 8e + -8e Combine like terms: 8e + -8e = 0 -8 + -6e = 12 + 0 -8 + -6e = 12 Add '8' to each side of the equation. -8 + 8 + -6e = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -6e = 12 + 8 -6e = 12 + 8 Combine like terms: 12 + 8 = 20 -6e = 20 Divide each side by '-6'. e = -3.333333333 Simplifying e = -3.333333333
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