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Simplifying 2f + -5g + 6f + 9g = 0 Reorder the terms: 2f + 6f + -5g + 9g = 0 Combine like terms: 2f + 6f = 8f 8f + -5g + 9g = 0 Combine like terms: -5g + 9g = 4g 8f + 4g = 0 Solving 8f + 4g = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-4g' to each side of the equation. 8f + 4g + -4g = 0 + -4g Combine like terms: 4g + -4g = 0 8f + 0 = 0 + -4g 8f = 0 + -4g Remove the zero: 8f = -4g Divide each side by '8'. f = -0.5g Simplifying f = -0.5g
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