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Simplifying 2s(f + -2g) + 3(f + -2g) = 0 (f * 2s + -2g * 2s) + 3(f + -2g) = 0 (2fs + -4gs) + 3(f + -2g) = 0 2fs + -4gs + (f * 3 + -2g * 3) = 0 2fs + -4gs + (3f + -6g) = 0 Reorder the terms: 3f + 2fs + -6g + -4gs = 0 Solving 3f + 2fs + -6g + -4gs = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '6g' to each side of the equation. 3f + 2fs + -6g + 6g + -4gs = 0 + 6g Combine like terms: -6g + 6g = 0 3f + 2fs + 0 + -4gs = 0 + 6g 3f + 2fs + -4gs = 0 + 6g Remove the zero: 3f + 2fs + -4gs = 6g Add '4gs' to each side of the equation. 3f + 2fs + -4gs + 4gs = 6g + 4gs Combine like terms: -4gs + 4gs = 0 3f + 2fs + 0 = 6g + 4gs 3f + 2fs = 6g + 4gs Reorder the terms: 3f + 2fs + -6g + -4gs = 6g + -6g + 4gs + -4gs Combine like terms: 6g + -6g = 0 3f + 2fs + -6g + -4gs = 0 + 4gs + -4gs 3f + 2fs + -6g + -4gs = 4gs + -4gs Combine like terms: 4gs + -4gs = 0 3f + 2fs + -6g + -4gs = 0 The solution to this equation could not be determined.
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