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Simplifying (12 + 3f + -5 + ef) = (18 + -3f + 5 + -1f) Reorder the terms: (12 + -5 + ef + 3f) = (18 + -3f + 5 + -1f) Combine like terms: 12 + -5 = 7 (7 + ef + 3f) = (18 + -3f + 5 + -1f) Remove parenthesis around (7 + ef + 3f) 7 + ef + 3f = (18 + -3f + 5 + -1f) Reorder the terms: 7 + ef + 3f = (18 + 5 + -3f + -1f) Combine like terms: 18 + 5 = 23 7 + ef + 3f = (23 + -3f + -1f) Combine like terms: -3f + -1f = -4f 7 + ef + 3f = (23 + -4f) Remove parenthesis around (23 + -4f) 7 + ef + 3f = 23 + -4f Solving 7 + ef + 3f = 23 + -4f Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + ef + -7 + 3f = 23 + -7 + -4f Reorder the terms: 7 + -7 + ef + 3f = 23 + -7 + -4f Combine like terms: 7 + -7 = 0 0 + ef + 3f = 23 + -7 + -4f ef + 3f = 23 + -7 + -4f Combine like terms: 23 + -7 = 16 ef + 3f = 16 + -4f Add '-3f' to each side of the equation. ef + 3f + -3f = 16 + -4f + -3f Combine like terms: 3f + -3f = 0 ef + 0 = 16 + -4f + -3f ef = 16 + -4f + -3f Combine like terms: -4f + -3f = -7f ef = 16 + -7f Divide each side by 'f'. e = 16f-1 + -7 Simplifying e = 16f-1 + -7 Reorder the terms: e = -7 + 16f-1
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