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Simplifying 3(2e + -1) = (e + 2) + 3e Reorder the terms: 3(-1 + 2e) = (e + 2) + 3e (-1 * 3 + 2e * 3) = (e + 2) + 3e (-3 + 6e) = (e + 2) + 3e Reorder the terms: -3 + 6e = (2 + e) + 3e Remove parenthesis around (2 + e) -3 + 6e = 2 + e + 3e Combine like terms: e + 3e = 4e -3 + 6e = 2 + 4e Solving -3 + 6e = 2 + 4e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-4e' to each side of the equation. -3 + 6e + -4e = 2 + 4e + -4e Combine like terms: 6e + -4e = 2e -3 + 2e = 2 + 4e + -4e Combine like terms: 4e + -4e = 0 -3 + 2e = 2 + 0 -3 + 2e = 2 Add '3' to each side of the equation. -3 + 3 + 2e = 2 + 3 Combine like terms: -3 + 3 = 0 0 + 2e = 2 + 3 2e = 2 + 3 Combine like terms: 2 + 3 = 5 2e = 5 Divide each side by '2'. e = 2.5 Simplifying e = 2.5
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