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Simplifying 4F + 2g + -3f + 5g = 0 Reorder the terms: 4F + -3f + 2g + 5g = 0 Combine like terms: 2g + 5g = 7g 4F + -3f + 7g = 0 Solving 4F + -3f + 7g = 0 Solving for variable 'F'. Move all terms containing F to the left, all other terms to the right. Add '3f' to each side of the equation. 4F + -3f + 3f + 7g = 0 + 3f Combine like terms: -3f + 3f = 0 4F + 0 + 7g = 0 + 3f 4F + 7g = 0 + 3f Remove the zero: 4F + 7g = 3f Add '-7g' to each side of the equation. 4F + 7g + -7g = 3f + -7g Combine like terms: 7g + -7g = 0 4F + 0 = 3f + -7g 4F = 3f + -7g Divide each side by '4'. F = 0.75f + -1.75g Simplifying F = 0.75f + -1.75g
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