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Simplifying 3(2e + 4) = 5(3e + 6) Reorder the terms: 3(4 + 2e) = 5(3e + 6) (4 * 3 + 2e * 3) = 5(3e + 6) (12 + 6e) = 5(3e + 6) Reorder the terms: 12 + 6e = 5(6 + 3e) 12 + 6e = (6 * 5 + 3e * 5) 12 + 6e = (30 + 15e) Solving 12 + 6e = 30 + 15e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-15e' to each side of the equation. 12 + 6e + -15e = 30 + 15e + -15e Combine like terms: 6e + -15e = -9e 12 + -9e = 30 + 15e + -15e Combine like terms: 15e + -15e = 0 12 + -9e = 30 + 0 12 + -9e = 30 Add '-12' to each side of the equation. 12 + -12 + -9e = 30 + -12 Combine like terms: 12 + -12 = 0 0 + -9e = 30 + -12 -9e = 30 + -12 Combine like terms: 30 + -12 = 18 -9e = 18 Divide each side by '-9'. e = -2 Simplifying e = -2
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