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Simplifying 2f + 5g = 1 + -1fg Solving 2f + 5g = 1 + -1fg Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add 'fg' to each side of the equation. 2f + fg + 5g = 1 + -1fg + fg Combine like terms: -1fg + fg = 0 2f + fg + 5g = 1 + 0 2f + fg + 5g = 1 Add '-5g' to each side of the equation. 2f + fg + 5g + -5g = 1 + -5g Combine like terms: 5g + -5g = 0 2f + fg + 0 = 1 + -5g 2f + fg = 1 + -5g Reorder the terms: -1 + 2f + fg + 5g = 1 + -5g + -1 + 5g Reorder the terms: -1 + 2f + fg + 5g = 1 + -1 + -5g + 5g Combine like terms: 1 + -1 = 0 -1 + 2f + fg + 5g = 0 + -5g + 5g -1 + 2f + fg + 5g = -5g + 5g Combine like terms: -5g + 5g = 0 -1 + 2f + fg + 5g = 0 The solution to this equation could not be determined.
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