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Simplifying 7e + 23 = 3e + (-7) + (-5) Reorder the terms: 23 + 7e = 3e + (-7) + (-5) 23 + 7e = 3e + -7 + (-5) 23 + 7e = 3e + -7 + -5 Reorder the terms: 23 + 7e = -7 + -5 + 3e Combine like terms: -7 + -5 = -12 23 + 7e = -12 + 3e Solving 23 + 7e = -12 + 3e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-3e' to each side of the equation. 23 + 7e + -3e = -12 + 3e + -3e Combine like terms: 7e + -3e = 4e 23 + 4e = -12 + 3e + -3e Combine like terms: 3e + -3e = 0 23 + 4e = -12 + 0 23 + 4e = -12 Add '-23' to each side of the equation. 23 + -23 + 4e = -12 + -23 Combine like terms: 23 + -23 = 0 0 + 4e = -12 + -23 4e = -12 + -23 Combine like terms: -12 + -23 = -35 4e = -35 Divide each side by '4'. e = -8.75 Simplifying e = -8.75
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