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Simplifying 5(e + 3) = 3e + 8 Reorder the terms: 5(3 + e) = 3e + 8 (3 * 5 + e * 5) = 3e + 8 (15 + 5e) = 3e + 8 Reorder the terms: 15 + 5e = 8 + 3e Solving 15 + 5e = 8 + 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. 15 + 5e + -3e = 8 + 3e + -3e Combine like terms: 5e + -3e = 2e 15 + 2e = 8 + 3e + -3e Combine like terms: 3e + -3e = 0 15 + 2e = 8 + 0 15 + 2e = 8 Add '-15' to each side of the equation. 15 + -15 + 2e = 8 + -15 Combine like terms: 15 + -15 = 0 0 + 2e = 8 + -15 2e = 8 + -15 Combine like terms: 8 + -15 = -7 2e = -7 Divide each side by '2'. e = -3.5 Simplifying e = -3.5
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