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Simplifying 5(e + 6) = (e + 7) Reorder the terms: 5(6 + e) = (e + 7) (6 * 5 + e * 5) = (e + 7) (30 + 5e) = (e + 7) Reorder the terms: 30 + 5e = (7 + e) Remove parenthesis around (7 + e) 30 + 5e = 7 + e Solving 30 + 5e = 7 + e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-1e' to each side of the equation. 30 + 5e + -1e = 7 + e + -1e Combine like terms: 5e + -1e = 4e 30 + 4e = 7 + e + -1e Combine like terms: e + -1e = 0 30 + 4e = 7 + 0 30 + 4e = 7 Add '-30' to each side of the equation. 30 + -30 + 4e = 7 + -30 Combine like terms: 30 + -30 = 0 0 + 4e = 7 + -30 4e = 7 + -30 Combine like terms: 7 + -30 = -23 4e = -23 Divide each side by '4'. e = -5.75 Simplifying e = -5.75
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