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Simplifying 2f + 7g + -6 = 8g Reorder the terms: -6 + 2f + 7g = 8g Solving -6 + 2f + 7g = 8g Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 2f + 6 + 7g = 6 + 8g Reorder the terms: -6 + 6 + 2f + 7g = 6 + 8g Combine like terms: -6 + 6 = 0 0 + 2f + 7g = 6 + 8g 2f + 7g = 6 + 8g Add '-7g' to each side of the equation. 2f + 7g + -7g = 6 + 8g + -7g Combine like terms: 7g + -7g = 0 2f + 0 = 6 + 8g + -7g 2f = 6 + 8g + -7g Combine like terms: 8g + -7g = 1g 2f = 6 + 1g Divide each side by '2'. f = 3 + 0.5g Simplifying f = 3 + 0.5g
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