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Simplifying 2f + 5g + 3f + -4g = 0 Reorder the terms: 2f + 3f + 5g + -4g = 0 Combine like terms: 2f + 3f = 5f 5f + 5g + -4g = 0 Combine like terms: 5g + -4g = 1g 5f + 1g = 0 Solving 5f + 1g = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-1g' to each side of the equation. 5f + 1g + -1g = 0 + -1g Combine like terms: 1g + -1g = 0 5f + 0 = 0 + -1g 5f = 0 + -1g Remove the zero: 5f = -1g Divide each side by '5'. f = -0.2g Simplifying f = -0.2g
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