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Simplifying 7(e + 1) = 4e + 34 Reorder the terms: 7(1 + e) = 4e + 34 (1 * 7 + e * 7) = 4e + 34 (7 + 7e) = 4e + 34 Reorder the terms: 7 + 7e = 34 + 4e Solving 7 + 7e = 34 + 4e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-4e' to each side of the equation. 7 + 7e + -4e = 34 + 4e + -4e Combine like terms: 7e + -4e = 3e 7 + 3e = 34 + 4e + -4e Combine like terms: 4e + -4e = 0 7 + 3e = 34 + 0 7 + 3e = 34 Add '-7' to each side of the equation. 7 + -7 + 3e = 34 + -7 Combine like terms: 7 + -7 = 0 0 + 3e = 34 + -7 3e = 34 + -7 Combine like terms: 34 + -7 = 27 3e = 27 Divide each side by '3'. e = 9 Simplifying e = 9
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