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Simplifying 4e + -5 + 2e = e + 3 + -2e Reorder the terms: -5 + 4e + 2e = e + 3 + -2e Combine like terms: 4e + 2e = 6e -5 + 6e = e + 3 + -2e Reorder the terms: -5 + 6e = 3 + e + -2e Combine like terms: e + -2e = -1e -5 + 6e = 3 + -1e Solving -5 + 6e = 3 + -1e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add 'e' to each side of the equation. -5 + 6e + e = 3 + -1e + e Combine like terms: 6e + e = 7e -5 + 7e = 3 + -1e + e Combine like terms: -1e + e = 0 -5 + 7e = 3 + 0 -5 + 7e = 3 Add '5' to each side of the equation. -5 + 5 + 7e = 3 + 5 Combine like terms: -5 + 5 = 0 0 + 7e = 3 + 5 7e = 3 + 5 Combine like terms: 3 + 5 = 8 7e = 8 Divide each side by '7'. e = 1.142857143 Simplifying e = 1.142857143
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