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Simplifying 4e + -7(e + 1) = -1e + 11 Reorder the terms: 4e + -7(1 + e) = -1e + 11 4e + (1 * -7 + e * -7) = -1e + 11 4e + (-7 + -7e) = -1e + 11 Reorder the terms: -7 + 4e + -7e = -1e + 11 Combine like terms: 4e + -7e = -3e -7 + -3e = -1e + 11 Reorder the terms: -7 + -3e = 11 + -1e Solving -7 + -3e = 11 + -1e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add 'e' to each side of the equation. -7 + -3e + e = 11 + -1e + e Combine like terms: -3e + e = -2e -7 + -2e = 11 + -1e + e Combine like terms: -1e + e = 0 -7 + -2e = 11 + 0 -7 + -2e = 11 Add '7' to each side of the equation. -7 + 7 + -2e = 11 + 7 Combine like terms: -7 + 7 = 0 0 + -2e = 11 + 7 -2e = 11 + 7 Combine like terms: 11 + 7 = 18 -2e = 18 Divide each side by '-2'. e = -9 Simplifying e = -9
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