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Simplifying 4(2e + -2) = 3(2e + 6) Reorder the terms: 4(-2 + 2e) = 3(2e + 6) (-2 * 4 + 2e * 4) = 3(2e + 6) (-8 + 8e) = 3(2e + 6) Reorder the terms: -8 + 8e = 3(6 + 2e) -8 + 8e = (6 * 3 + 2e * 3) -8 + 8e = (18 + 6e) Solving -8 + 8e = 18 + 6e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-6e' to each side of the equation. -8 + 8e + -6e = 18 + 6e + -6e Combine like terms: 8e + -6e = 2e -8 + 2e = 18 + 6e + -6e Combine like terms: 6e + -6e = 0 -8 + 2e = 18 + 0 -8 + 2e = 18 Add '8' to each side of the equation. -8 + 8 + 2e = 18 + 8 Combine like terms: -8 + 8 = 0 0 + 2e = 18 + 8 2e = 18 + 8 Combine like terms: 18 + 8 = 26 2e = 26 Divide each side by '2'. e = 13 Simplifying e = 13
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