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Simplifying 8f + 10g + -4f + -2g = 0 Reorder the terms: 8f + -4f + 10g + -2g = 0 Combine like terms: 8f + -4f = 4f 4f + 10g + -2g = 0 Combine like terms: 10g + -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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