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Simplifying 3e + 4e + 1 = 5e + 2 + 3 Reorder the terms: 1 + 3e + 4e = 5e + 2 + 3 Combine like terms: 3e + 4e = 7e 1 + 7e = 5e + 2 + 3 Reorder the terms: 1 + 7e = 2 + 3 + 5e Combine like terms: 2 + 3 = 5 1 + 7e = 5 + 5e Solving 1 + 7e = 5 + 5e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-5e' to each side of the equation. 1 + 7e + -5e = 5 + 5e + -5e Combine like terms: 7e + -5e = 2e 1 + 2e = 5 + 5e + -5e Combine like terms: 5e + -5e = 0 1 + 2e = 5 + 0 1 + 2e = 5 Add '-1' to each side of the equation. 1 + -1 + 2e = 5 + -1 Combine like terms: 1 + -1 = 0 0 + 2e = 5 + -1 2e = 5 + -1 Combine like terms: 5 + -1 = 4 2e = 4 Divide each side by '2'. e = 2 Simplifying e = 2
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