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Simplifying 9(e + 27) = 11e + -13 Reorder the terms: 9(27 + e) = 11e + -13 (27 * 9 + e * 9) = 11e + -13 (243 + 9e) = 11e + -13 Reorder the terms: 243 + 9e = -13 + 11e Solving 243 + 9e = -13 + 11e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-11e' to each side of the equation. 243 + 9e + -11e = -13 + 11e + -11e Combine like terms: 9e + -11e = -2e 243 + -2e = -13 + 11e + -11e Combine like terms: 11e + -11e = 0 243 + -2e = -13 + 0 243 + -2e = -13 Add '-243' to each side of the equation. 243 + -243 + -2e = -13 + -243 Combine like terms: 243 + -243 = 0 0 + -2e = -13 + -243 -2e = -13 + -243 Combine like terms: -13 + -243 = -256 -2e = -256 Divide each side by '-2'. e = 128 Simplifying e = 128
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