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Simplifying 8f + 3g + -1f + -5g = 0 Reorder the terms: 8f + -1f + 3g + -5g = 0 Combine like terms: 8f + -1f = 7f 7f + 3g + -5g = 0 Combine like terms: 3g + -5g = -2g 7f + -2g = 0 Solving 7f + -2g = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '2g' to each side of the equation. 7f + -2g + 2g = 0 + 2g Combine like terms: -2g + 2g = 0 7f + 0 = 0 + 2g 7f = 0 + 2g Remove the zero: 7f = 2g Divide each side by '7'. f = 0.2857142857g Simplifying f = 0.2857142857g
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