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Simplifying 7(2e + -1) = 6 + 6e Reorder the terms: 7(-1 + 2e) = 6 + 6e (-1 * 7 + 2e * 7) = 6 + 6e (-7 + 14e) = 6 + 6e Solving -7 + 14e = 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. -7 + 14e + -6e = 6 + 6e + -6e Combine like terms: 14e + -6e = 8e -7 + 8e = 6 + 6e + -6e Combine like terms: 6e + -6e = 0 -7 + 8e = 6 + 0 -7 + 8e = 6 Add '7' to each side of the equation. -7 + 7 + 8e = 6 + 7 Combine like terms: -7 + 7 = 0 0 + 8e = 6 + 7 8e = 6 + 7 Combine like terms: 6 + 7 = 13 8e = 13 Divide each side by '8'. e = 1.625 Simplifying e = 1.625
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