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Simplifying 4(e + 3) + -1(e + 8) = 35 Reorder the terms: 4(3 + e) + -1(e + 8) = 35 (3 * 4 + e * 4) + -1(e + 8) = 35 (12 + 4e) + -1(e + 8) = 35 Reorder the terms: 12 + 4e + -1(8 + e) = 35 12 + 4e + (8 * -1 + e * -1) = 35 12 + 4e + (-8 + -1e) = 35 Reorder the terms: 12 + -8 + 4e + -1e = 35 Combine like terms: 12 + -8 = 4 4 + 4e + -1e = 35 Combine like terms: 4e + -1e = 3e 4 + 3e = 35 Solving 4 + 3e = 35 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3e = 35 + -4 Combine like terms: 4 + -4 = 0 0 + 3e = 35 + -4 3e = 35 + -4 Combine like terms: 35 + -4 = 31 3e = 31 Divide each side by '3'. e = 10.33333333 Simplifying e = 10.33333333
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