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Simplifying 2(4e + 1) + -5e + 6 = 44 Reorder the terms: 2(1 + 4e) + -5e + 6 = 44 (1 * 2 + 4e * 2) + -5e + 6 = 44 (2 + 8e) + -5e + 6 = 44 Reorder the terms: 2 + 6 + 8e + -5e = 44 Combine like terms: 2 + 6 = 8 8 + 8e + -5e = 44 Combine like terms: 8e + -5e = 3e 8 + 3e = 44 Solving 8 + 3e = 44 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3e = 44 + -8 Combine like terms: 8 + -8 = 0 0 + 3e = 44 + -8 3e = 44 + -8 Combine like terms: 44 + -8 = 36 3e = 36 Divide each side by '3'. e = 12 Simplifying e = 12
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