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Simplifying 4(f + 2g) + -4g + f = 0 (f * 4 + 2g * 4) + -4g + f = 0 (4f + 8g) + -4g + f = 0 Reorder the terms: 4f + f + 8g + -4g = 0 Combine like terms: 4f + f = 5f 5f + 8g + -4g = 0 Combine like terms: 8g + -4g = 4g 5f + 4g = 0 Solving 5f + 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. 5f + 4g + -4g = 0 + -4g Combine like terms: 4g + -4g = 0 5f + 0 = 0 + -4g 5f = 0 + -4g Remove the zero: 5f = -4g Divide each side by '5'. f = -0.8g Simplifying f = -0.8g
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