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Simplifying 7(2e + 3) = 3(4e + 9) Reorder the terms: 7(3 + 2e) = 3(4e + 9) (3 * 7 + 2e * 7) = 3(4e + 9) (21 + 14e) = 3(4e + 9) Reorder the terms: 21 + 14e = 3(9 + 4e) 21 + 14e = (9 * 3 + 4e * 3) 21 + 14e = (27 + 12e) Solving 21 + 14e = 27 + 12e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-12e' to each side of the equation. 21 + 14e + -12e = 27 + 12e + -12e Combine like terms: 14e + -12e = 2e 21 + 2e = 27 + 12e + -12e Combine like terms: 12e + -12e = 0 21 + 2e = 27 + 0 21 + 2e = 27 Add '-21' to each side of the equation. 21 + -21 + 2e = 27 + -21 Combine like terms: 21 + -21 = 0 0 + 2e = 27 + -21 2e = 27 + -21 Combine like terms: 27 + -21 = 6 2e = 6 Divide each side by '2'. e = 3 Simplifying e = 3
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