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Simplifying e + 5(e + 1) = 4(2e + -2) + 11e Reorder the terms: e + 5(1 + e) = 4(2e + -2) + 11e e + (1 * 5 + e * 5) = 4(2e + -2) + 11e e + (5 + 5e) = 4(2e + -2) + 11e Reorder the terms: 5 + e + 5e = 4(2e + -2) + 11e Combine like terms: e + 5e = 6e 5 + 6e = 4(2e + -2) + 11e Reorder the terms: 5 + 6e = 4(-2 + 2e) + 11e 5 + 6e = (-2 * 4 + 2e * 4) + 11e 5 + 6e = (-8 + 8e) + 11e Combine like terms: 8e + 11e = 19e 5 + 6e = -8 + 19e Solving 5 + 6e = -8 + 19e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-19e' to each side of the equation. 5 + 6e + -19e = -8 + 19e + -19e Combine like terms: 6e + -19e = -13e 5 + -13e = -8 + 19e + -19e Combine like terms: 19e + -19e = 0 5 + -13e = -8 + 0 5 + -13e = -8 Add '-5' to each side of the equation. 5 + -5 + -13e = -8 + -5 Combine like terms: 5 + -5 = 0 0 + -13e = -8 + -5 -13e = -8 + -5 Combine like terms: -8 + -5 = -13 -13e = -13 Divide each side by '-13'. e = 1 Simplifying e = 1
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