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Simplifying 2f + -3g + 17f + -5g = 0 Reorder the terms: 2f + 17f + -3g + -5g = 0 Combine like terms: 2f + 17f = 19f 19f + -3g + -5g = 0 Combine like terms: -3g + -5g = -8g 19f + -8g = 0 Solving 19f + -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. 19f + -8g + 8g = 0 + 8g Combine like terms: -8g + 8g = 0 19f + 0 = 0 + 8g 19f = 0 + 8g Remove the zero: 19f = 8g Divide each side by '19'. f = 0.4210526316g Simplifying f = 0.4210526316g
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