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Simplifying -7(e + -6) + 4(4e + 5) = 0 Reorder the terms: -7(-6 + e) + 4(4e + 5) = 0 (-6 * -7 + e * -7) + 4(4e + 5) = 0 (42 + -7e) + 4(4e + 5) = 0 Reorder the terms: 42 + -7e + 4(5 + 4e) = 0 42 + -7e + (5 * 4 + 4e * 4) = 0 42 + -7e + (20 + 16e) = 0 Reorder the terms: 42 + 20 + -7e + 16e = 0 Combine like terms: 42 + 20 = 62 62 + -7e + 16e = 0 Combine like terms: -7e + 16e = 9e 62 + 9e = 0 Solving 62 + 9e = 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 + 9e = 0 + -62 Combine like terms: 62 + -62 = 0 0 + 9e = 0 + -62 9e = 0 + -62 Combine like terms: 0 + -62 = -62 9e = -62 Divide each side by '9'. e = -6.888888889 Simplifying e = -6.888888889
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