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Simplifying 5g + 4f + -2f + 3g = 0 Reorder the terms: 4f + -2f + 5g + 3g = 0 Combine like terms: 4f + -2f = 2f 2f + 5g + 3g = 0 Combine like terms: 5g + 3g = 8g 2f + 8g = 0 Solving 2f + 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. 2f + 8g + -8g = 0 + -8g Combine like terms: 8g + -8g = 0 2f + 0 = 0 + -8g 2f = 0 + -8g Remove the zero: 2f = -8g Divide each side by '2'. f = -4g Simplifying f = -4g
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