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Simplifying F + -3g + 2g + -1fg + 1 = 0 Reorder the terms: 1 + F + -1fg + -3g + 2g = 0 Combine like terms: -3g + 2g = -1g 1 + F + -1fg + -1g = 0 Solving 1 + F + -1fg + -1g = 0 Solving for variable 'F'. Move all terms containing F to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + F + -1fg + -1 + -1g = 0 + -1 Reorder the terms: 1 + -1 + F + -1fg + -1g = 0 + -1 Combine like terms: 1 + -1 = 0 0 + F + -1fg + -1g = 0 + -1 F + -1fg + -1g = 0 + -1 Combine like terms: 0 + -1 = -1 F + -1fg + -1g = -1 Add 'fg' to each side of the equation. F + -1fg + fg + -1g = -1 + fg Combine like terms: -1fg + fg = 0 F + 0 + -1g = -1 + fg F + -1g = -1 + fg Add 'g' to each side of the equation. F + -1g + g = -1 + fg + g Combine like terms: -1g + g = 0 F + 0 = -1 + fg + g F = -1 + fg + g Simplifying F = -1 + fg + g
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