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Simplifying 7(2e + -1) + -3 = 6 + 6e Reorder the terms: 7(-1 + 2e) + -3 = 6 + 6e (-1 * 7 + 2e * 7) + -3 = 6 + 6e (-7 + 14e) + -3 = 6 + 6e Reorder the terms: -7 + -3 + 14e = 6 + 6e Combine like terms: -7 + -3 = -10 -10 + 14e = 6 + 6e Solving -10 + 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. -10 + 14e + -6e = 6 + 6e + -6e Combine like terms: 14e + -6e = 8e -10 + 8e = 6 + 6e + -6e Combine like terms: 6e + -6e = 0 -10 + 8e = 6 + 0 -10 + 8e = 6 Add '10' to each side of the equation. -10 + 10 + 8e = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 8e = 6 + 10 8e = 6 + 10 Combine like terms: 6 + 10 = 16 8e = 16 Divide each side by '8'. e = 2 Simplifying e = 2
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