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Simplifying 6(7e + 5f + -3f) = 0 Combine like terms: 5f + -3f = 2f 6(7e + 2f) = 0 (7e * 6 + 2f * 6) = 0 (42e + 12f) = 0 Solving 42e + 12f = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-12f' to each side of the equation. 42e + 12f + -12f = 0 + -12f Combine like terms: 12f + -12f = 0 42e + 0 = 0 + -12f 42e = 0 + -12f Remove the zero: 42e = -12f Divide each side by '42'. e = -0.2857142857f Simplifying e = -0.2857142857f
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