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Simplifying 3(7e + 9) + 7(4e + 5) = 0 Reorder the terms: 3(9 + 7e) + 7(4e + 5) = 0 (9 * 3 + 7e * 3) + 7(4e + 5) = 0 (27 + 21e) + 7(4e + 5) = 0 Reorder the terms: 27 + 21e + 7(5 + 4e) = 0 27 + 21e + (5 * 7 + 4e * 7) = 0 27 + 21e + (35 + 28e) = 0 Reorder the terms: 27 + 35 + 21e + 28e = 0 Combine like terms: 27 + 35 = 62 62 + 21e + 28e = 0 Combine like terms: 21e + 28e = 49e 62 + 49e = 0 Solving 62 + 49e = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-62' to each side of the equation. 62 + -62 + 49e = 0 + -62 Combine like terms: 62 + -62 = 0 0 + 49e = 0 + -62 49e = 0 + -62 Combine like terms: 0 + -62 = -62 49e = -62 Divide each side by '49'. e = -1.265306122 Simplifying e = -1.265306122
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