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Simplifying 2(e + 3) = 4(e + -2) Reorder the terms: 2(3 + e) = 4(e + -2) (3 * 2 + e * 2) = 4(e + -2) (6 + 2e) = 4(e + -2) Reorder the terms: 6 + 2e = 4(-2 + e) 6 + 2e = (-2 * 4 + e * 4) 6 + 2e = (-8 + 4e) Solving 6 + 2e = -8 + 4e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-4e' to each side of the equation. 6 + 2e + -4e = -8 + 4e + -4e Combine like terms: 2e + -4e = -2e 6 + -2e = -8 + 4e + -4e Combine like terms: 4e + -4e = 0 6 + -2e = -8 + 0 6 + -2e = -8 Add '-6' to each side of the equation. 6 + -6 + -2e = -8 + -6 Combine like terms: 6 + -6 = 0 0 + -2e = -8 + -6 -2e = -8 + -6 Combine like terms: -8 + -6 = -14 -2e = -14 Divide each side by '-2'. e = 7 Simplifying e = 7
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