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Simplifying 9(3 + -1e) + -2(e + 5) = -5 (3 * 9 + -1e * 9) + -2(e + 5) = -5 (27 + -9e) + -2(e + 5) = -5 Reorder the terms: 27 + -9e + -2(5 + e) = -5 27 + -9e + (5 * -2 + e * -2) = -5 27 + -9e + (-10 + -2e) = -5 Reorder the terms: 27 + -10 + -9e + -2e = -5 Combine like terms: 27 + -10 = 17 17 + -9e + -2e = -5 Combine like terms: -9e + -2e = -11e 17 + -11e = -5 Solving 17 + -11e = -5 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -11e = -5 + -17 Combine like terms: 17 + -17 = 0 0 + -11e = -5 + -17 -11e = -5 + -17 Combine like terms: -5 + -17 = -22 -11e = -22 Divide each side by '-11'. e = 2 Simplifying e = 2
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