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Simplifying 3(3e + 2f) + 4f + 2 = 0 (3e * 3 + 2f * 3) + 4f + 2 = 0 (9e + 6f) + 4f + 2 = 0 Reorder the terms: 2 + 9e + 6f + 4f = 0 Combine like terms: 6f + 4f = 10f 2 + 9e + 10f = 0 Solving 2 + 9e + 10f = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 9e + -2 + 10f = 0 + -2 Reorder the terms: 2 + -2 + 9e + 10f = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 9e + 10f = 0 + -2 9e + 10f = 0 + -2 Combine like terms: 0 + -2 = -2 9e + 10f = -2 Add '-10f' to each side of the equation. 9e + 10f + -10f = -2 + -10f Combine like terms: 10f + -10f = 0 9e + 0 = -2 + -10f 9e = -2 + -10f Divide each side by '9'. e = -0.2222222222 + -1.111111111f Simplifying e = -0.2222222222 + -1.111111111f
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