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Simplifying 2(4e + -3) + -8 = 4 + 2e Reorder the terms: 2(-3 + 4e) + -8 = 4 + 2e (-3 * 2 + 4e * 2) + -8 = 4 + 2e (-6 + 8e) + -8 = 4 + 2e Reorder the terms: -6 + -8 + 8e = 4 + 2e Combine like terms: -6 + -8 = -14 -14 + 8e = 4 + 2e Solving -14 + 8e = 4 + 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. -14 + 8e + -2e = 4 + 2e + -2e Combine like terms: 8e + -2e = 6e -14 + 6e = 4 + 2e + -2e Combine like terms: 2e + -2e = 0 -14 + 6e = 4 + 0 -14 + 6e = 4 Add '14' to each side of the equation. -14 + 14 + 6e = 4 + 14 Combine like terms: -14 + 14 = 0 0 + 6e = 4 + 14 6e = 4 + 14 Combine like terms: 4 + 14 = 18 6e = 18 Divide each side by '6'. e = 3 Simplifying e = 3
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