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Simplifying (2e + 1) + -3 = 6 + 6e Reorder the terms: (1 + 2e) + -3 = 6 + 6e Remove parenthesis around (1 + 2e) 1 + 2e + -3 = 6 + 6e Reorder the terms: 1 + -3 + 2e = 6 + 6e Combine like terms: 1 + -3 = -2 -2 + 2e = 6 + 6e Solving -2 + 2e = 6 + 6e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-6e' to each side of the equation. -2 + 2e + -6e = 6 + 6e + -6e Combine like terms: 2e + -6e = -4e -2 + -4e = 6 + 6e + -6e Combine like terms: 6e + -6e = 0 -2 + -4e = 6 + 0 -2 + -4e = 6 Add '2' to each side of the equation. -2 + 2 + -4e = 6 + 2 Combine like terms: -2 + 2 = 0 0 + -4e = 6 + 2 -4e = 6 + 2 Combine like terms: 6 + 2 = 8 -4e = 8 Divide each side by '-4'. e = -2 Simplifying e = -2
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