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Simplifying -3e + 6 + -5(e + -1) = -1(2e + -4) + -5e + 5 Reorder the terms: -3e + 6 + -5(-1 + e) = -1(2e + -4) + -5e + 5 -3e + 6 + (-1 * -5 + e * -5) = -1(2e + -4) + -5e + 5 -3e + 6 + (5 + -5e) = -1(2e + -4) + -5e + 5 Reorder the terms: 6 + 5 + -3e + -5e = -1(2e + -4) + -5e + 5 Combine like terms: 6 + 5 = 11 11 + -3e + -5e = -1(2e + -4) + -5e + 5 Combine like terms: -3e + -5e = -8e 11 + -8e = -1(2e + -4) + -5e + 5 Reorder the terms: 11 + -8e = -1(-4 + 2e) + -5e + 5 11 + -8e = (-4 * -1 + 2e * -1) + -5e + 5 11 + -8e = (4 + -2e) + -5e + 5 Reorder the terms: 11 + -8e = 4 + 5 + -2e + -5e Combine like terms: 4 + 5 = 9 11 + -8e = 9 + -2e + -5e Combine like terms: -2e + -5e = -7e 11 + -8e = 9 + -7e Solving 11 + -8e = 9 + -7e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '7e' to each side of the equation. 11 + -8e + 7e = 9 + -7e + 7e Combine like terms: -8e + 7e = -1e 11 + -1e = 9 + -7e + 7e Combine like terms: -7e + 7e = 0 11 + -1e = 9 + 0 11 + -1e = 9 Add '-11' to each side of the equation. 11 + -11 + -1e = 9 + -11 Combine like terms: 11 + -11 = 0 0 + -1e = 9 + -11 -1e = 9 + -11 Combine like terms: 9 + -11 = -2 -1e = -2 Divide each side by '-1'. e = 2 Simplifying e = 2
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