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Simplifying 5(e + 1) = 3e + 9 Reorder the terms: 5(1 + e) = 3e + 9 (1 * 5 + e * 5) = 3e + 9 (5 + 5e) = 3e + 9 Reorder the terms: 5 + 5e = 9 + 3e Solving 5 + 5e = 9 + 3e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-3e' to each side of the equation. 5 + 5e + -3e = 9 + 3e + -3e Combine like terms: 5e + -3e = 2e 5 + 2e = 9 + 3e + -3e Combine like terms: 3e + -3e = 0 5 + 2e = 9 + 0 5 + 2e = 9 Add '-5' to each side of the equation. 5 + -5 + 2e = 9 + -5 Combine like terms: 5 + -5 = 0 0 + 2e = 9 + -5 2e = 9 + -5 Combine like terms: 9 + -5 = 4 2e = 4 Divide each side by '2'. e = 2 Simplifying e = 2
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