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Simplifying 3e + -5 = -8(6 + 5e) Reorder the terms: -5 + 3e = -8(6 + 5e) -5 + 3e = (6 * -8 + 5e * -8) -5 + 3e = (-48 + -40e) Solving -5 + 3e = -48 + -40e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '40e' to each side of the equation. -5 + 3e + 40e = -48 + -40e + 40e Combine like terms: 3e + 40e = 43e -5 + 43e = -48 + -40e + 40e Combine like terms: -40e + 40e = 0 -5 + 43e = -48 + 0 -5 + 43e = -48 Add '5' to each side of the equation. -5 + 5 + 43e = -48 + 5 Combine like terms: -5 + 5 = 0 0 + 43e = -48 + 5 43e = -48 + 5 Combine like terms: -48 + 5 = -43 43e = -43 Divide each side by '43'. e = -1 Simplifying e = -1
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