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Simplifying 5(e + 6) = 4(e + 7) Reorder the terms: 5(6 + e) = 4(e + 7) (6 * 5 + e * 5) = 4(e + 7) (30 + 5e) = 4(e + 7) Reorder the terms: 30 + 5e = 4(7 + e) 30 + 5e = (7 * 4 + e * 4) 30 + 5e = (28 + 4e) Solving 30 + 5e = 28 + 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. 30 + 5e + -4e = 28 + 4e + -4e Combine like terms: 5e + -4e = 1e 30 + 1e = 28 + 4e + -4e Combine like terms: 4e + -4e = 0 30 + 1e = 28 + 0 30 + 1e = 28 Add '-30' to each side of the equation. 30 + -30 + 1e = 28 + -30 Combine like terms: 30 + -30 = 0 0 + 1e = 28 + -30 1e = 28 + -30 Combine like terms: 28 + -30 = -2 1e = -2 Divide each side by '1'. e = -2 Simplifying e = -2
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