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Simplifying 6f + 5g + -3f + 3g = 0 Reorder the terms: 6f + -3f + 5g + 3g = 0 Combine like terms: 6f + -3f = 3f 3f + 5g + 3g = 0 Combine like terms: 5g + 3g = 8g 3f + 8g = 0 Solving 3f + 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. 3f + 8g + -8g = 0 + -8g Combine like terms: 8g + -8g = 0 3f + 0 = 0 + -8g 3f = 0 + -8g Remove the zero: 3f = -8g Divide each side by '3'. f = -2.666666667g Simplifying f = -2.666666667g
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