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Simplifying 3e + 1 = -8(7 + 2e) Reorder the terms: 1 + 3e = -8(7 + 2e) 1 + 3e = (7 * -8 + 2e * -8) 1 + 3e = (-56 + -16e) Solving 1 + 3e = -56 + -16e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '16e' to each side of the equation. 1 + 3e + 16e = -56 + -16e + 16e Combine like terms: 3e + 16e = 19e 1 + 19e = -56 + -16e + 16e Combine like terms: -16e + 16e = 0 1 + 19e = -56 + 0 1 + 19e = -56 Add '-1' to each side of the equation. 1 + -1 + 19e = -56 + -1 Combine like terms: 1 + -1 = 0 0 + 19e = -56 + -1 19e = -56 + -1 Combine like terms: -56 + -1 = -57 19e = -57 Divide each side by '19'. e = -3 Simplifying e = -3
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