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Simplifying 8 + 4(2e + -3) = 5 + -1(e + 3) Reorder the terms: 8 + 4(-3 + 2e) = 5 + -1(e + 3) 8 + (-3 * 4 + 2e * 4) = 5 + -1(e + 3) 8 + (-12 + 8e) = 5 + -1(e + 3) Combine like terms: 8 + -12 = -4 -4 + 8e = 5 + -1(e + 3) Reorder the terms: -4 + 8e = 5 + -1(3 + e) -4 + 8e = 5 + (3 * -1 + e * -1) -4 + 8e = 5 + (-3 + -1e) Combine like terms: 5 + -3 = 2 -4 + 8e = 2 + -1e Solving -4 + 8e = 2 + -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. -4 + 8e + e = 2 + -1e + e Combine like terms: 8e + e = 9e -4 + 9e = 2 + -1e + e Combine like terms: -1e + e = 0 -4 + 9e = 2 + 0 -4 + 9e = 2 Add '4' to each side of the equation. -4 + 4 + 9e = 2 + 4 Combine like terms: -4 + 4 = 0 0 + 9e = 2 + 4 9e = 2 + 4 Combine like terms: 2 + 4 = 6 9e = 6 Divide each side by '9'. e = 0.6666666667 Simplifying e = 0.6666666667
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