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Simplifying (7e + -2) + -1(3e + 6) = 8 Reorder the terms: (-2 + 7e) + -1(3e + 6) = 8 Remove parenthesis around (-2 + 7e) -2 + 7e + -1(3e + 6) = 8 Reorder the terms: -2 + 7e + -1(6 + 3e) = 8 -2 + 7e + (6 * -1 + 3e * -1) = 8 -2 + 7e + (-6 + -3e) = 8 Reorder the terms: -2 + -6 + 7e + -3e = 8 Combine like terms: -2 + -6 = -8 -8 + 7e + -3e = 8 Combine like terms: 7e + -3e = 4e -8 + 4e = 8 Solving -8 + 4e = 8 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 4e = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 4e = 8 + 8 4e = 8 + 8 Combine like terms: 8 + 8 = 16 4e = 16 Divide each side by '4'. e = 4 Simplifying e = 4
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