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Simplifying 8e + -9(e + -1) = 3e + 13 Reorder the terms: 8e + -9(-1 + e) = 3e + 13 8e + (-1 * -9 + e * -9) = 3e + 13 8e + (9 + -9e) = 3e + 13 Reorder the terms: 9 + 8e + -9e = 3e + 13 Combine like terms: 8e + -9e = -1e 9 + -1e = 3e + 13 Reorder the terms: 9 + -1e = 13 + 3e Solving 9 + -1e = 13 + 3e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-3e' to each side of the equation. 9 + -1e + -3e = 13 + 3e + -3e Combine like terms: -1e + -3e = -4e 9 + -4e = 13 + 3e + -3e Combine like terms: 3e + -3e = 0 9 + -4e = 13 + 0 9 + -4e = 13 Add '-9' to each side of the equation. 9 + -9 + -4e = 13 + -9 Combine like terms: 9 + -9 = 0 0 + -4e = 13 + -9 -4e = 13 + -9 Combine like terms: 13 + -9 = 4 -4e = 4 Divide each side by '-4'. e = -1 Simplifying e = -1
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