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Simplifying 7(2e + -1) + -3 = 6 + 3e Reorder the terms: 7(-1 + 2e) + -3 = 6 + 3e (-1 * 7 + 2e * 7) + -3 = 6 + 3e (-7 + 14e) + -3 = 6 + 3e Reorder the terms: -7 + -3 + 14e = 6 + 3e Combine like terms: -7 + -3 = -10 -10 + 14e = 6 + 3e Solving -10 + 14e = 6 + 3e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-3e' to each side of the equation. -10 + 14e + -3e = 6 + 3e + -3e Combine like terms: 14e + -3e = 11e -10 + 11e = 6 + 3e + -3e Combine like terms: 3e + -3e = 0 -10 + 11e = 6 + 0 -10 + 11e = 6 Add '10' to each side of the equation. -10 + 10 + 11e = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 11e = 6 + 10 11e = 6 + 10 Combine like terms: 6 + 10 = 16 11e = 16 Divide each side by '11'. e = 1.454545455 Simplifying e = 1.454545455
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