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Simplifying 3f + 4g + -2 + 5f + -5g + 4 = 0 Reorder the terms: -2 + 4 + 3f + 5f + 4g + -5g = 0 Combine like terms: -2 + 4 = 2 2 + 3f + 5f + 4g + -5g = 0 Combine like terms: 3f + 5f = 8f 2 + 8f + 4g + -5g = 0 Combine like terms: 4g + -5g = -1g 2 + 8f + -1g = 0 Solving 2 + 8f + -1g = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 8f + -2 + -1g = 0 + -2 Reorder the terms: 2 + -2 + 8f + -1g = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 8f + -1g = 0 + -2 8f + -1g = 0 + -2 Combine like terms: 0 + -2 = -2 8f + -1g = -2 Add 'g' to each side of the equation. 8f + -1g + g = -2 + g Combine like terms: -1g + g = 0 8f + 0 = -2 + g 8f = -2 + g Divide each side by '8'. f = -0.25 + 0.125g Simplifying f = -0.25 + 0.125g
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