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Simplifying f + -6g + 3f + -2g = 0 Reorder the terms: f + 3f + -6g + -2g = 0 Combine like terms: f + 3f = 4f 4f + -6g + -2g = 0 Combine like terms: -6g + -2g = -8g 4f + -8g = 0 Solving 4f + -8g = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '8g' to each side of the equation. 4f + -8g + 8g = 0 + 8g Combine like terms: -8g + 8g = 0 4f + 0 = 0 + 8g 4f = 0 + 8g Remove the zero: 4f = 8g Divide each side by '4'. f = 2g Simplifying f = 2g
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