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Simplifying 4(2e + -1) + -1e = 3 + -2(e + 2) Reorder the terms: 4(-1 + 2e) + -1e = 3 + -2(e + 2) (-1 * 4 + 2e * 4) + -1e = 3 + -2(e + 2) (-4 + 8e) + -1e = 3 + -2(e + 2) Combine like terms: 8e + -1e = 7e -4 + 7e = 3 + -2(e + 2) Reorder the terms: -4 + 7e = 3 + -2(2 + e) -4 + 7e = 3 + (2 * -2 + e * -2) -4 + 7e = 3 + (-4 + -2e) Combine like terms: 3 + -4 = -1 -4 + 7e = -1 + -2e Solving -4 + 7e = -1 + -2e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '2e' to each side of the equation. -4 + 7e + 2e = -1 + -2e + 2e Combine like terms: 7e + 2e = 9e -4 + 9e = -1 + -2e + 2e Combine like terms: -2e + 2e = 0 -4 + 9e = -1 + 0 -4 + 9e = -1 Add '4' to each side of the equation. -4 + 4 + 9e = -1 + 4 Combine like terms: -4 + 4 = 0 0 + 9e = -1 + 4 9e = -1 + 4 Combine like terms: -1 + 4 = 3 9e = 3 Divide each side by '9'. e = 0.3333333333 Simplifying e = 0.3333333333
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