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Simplifying 3(e + 2) = -5e + 14 Reorder the terms: 3(2 + e) = -5e + 14 (2 * 3 + e * 3) = -5e + 14 (6 + 3e) = -5e + 14 Reorder the terms: 6 + 3e = 14 + -5e Solving 6 + 3e = 14 + -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. 6 + 3e + 5e = 14 + -5e + 5e Combine like terms: 3e + 5e = 8e 6 + 8e = 14 + -5e + 5e Combine like terms: -5e + 5e = 0 6 + 8e = 14 + 0 6 + 8e = 14 Add '-6' to each side of the equation. 6 + -6 + 8e = 14 + -6 Combine like terms: 6 + -6 = 0 0 + 8e = 14 + -6 8e = 14 + -6 Combine like terms: 14 + -6 = 8 8e = 8 Divide each side by '8'. e = 1 Simplifying e = 1
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