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Simplifying 1 + -2(e + -1) = 3 + -4(3e + -5) Reorder the terms: 1 + -2(-1 + e) = 3 + -4(3e + -5) 1 + (-1 * -2 + e * -2) = 3 + -4(3e + -5) 1 + (2 + -2e) = 3 + -4(3e + -5) Combine like terms: 1 + 2 = 3 3 + -2e = 3 + -4(3e + -5) Reorder the terms: 3 + -2e = 3 + -4(-5 + 3e) 3 + -2e = 3 + (-5 * -4 + 3e * -4) 3 + -2e = 3 + (20 + -12e) Combine like terms: 3 + 20 = 23 3 + -2e = 23 + -12e Solving 3 + -2e = 23 + -12e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '12e' to each side of the equation. 3 + -2e + 12e = 23 + -12e + 12e Combine like terms: -2e + 12e = 10e 3 + 10e = 23 + -12e + 12e Combine like terms: -12e + 12e = 0 3 + 10e = 23 + 0 3 + 10e = 23 Add '-3' to each side of the equation. 3 + -3 + 10e = 23 + -3 Combine like terms: 3 + -3 = 0 0 + 10e = 23 + -3 10e = 23 + -3 Combine like terms: 23 + -3 = 20 10e = 20 Divide each side by '10'. e = 2 Simplifying e = 2
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