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Simplifying 5f + 2g + f + g = 0 Reorder the terms: 5f + f + 2g + g = 0 Combine like terms: 5f + f = 6f 6f + 2g + g = 0 Combine like terms: 2g + g = 3g 6f + 3g = 0 Solving 6f + 3g = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-3g' to each side of the equation. 6f + 3g + -3g = 0 + -3g Combine like terms: 3g + -3g = 0 6f + 0 = 0 + -3g 6f = 0 + -3g Remove the zero: 6f = -3g Divide each side by '6'. f = -0.5g Simplifying f = -0.5g
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