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Simplifying 2f + 7g + -6 + 8g = 0 Reorder the terms: -6 + 2f + 7g + 8g = 0 Combine like terms: 7g + 8g = 15g -6 + 2f + 15g = 0 Solving -6 + 2f + 15g = 0 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 + 15g = 0 + 6 Reorder the terms: -6 + 6 + 2f + 15g = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 2f + 15g = 0 + 6 2f + 15g = 0 + 6 Combine like terms: 0 + 6 = 6 2f + 15g = 6 Add '-15g' to each side of the equation. 2f + 15g + -15g = 6 + -15g Combine like terms: 15g + -15g = 0 2f + 0 = 6 + -15g 2f = 6 + -15g Divide each side by '2'. f = 3 + -7.5g Simplifying f = 3 + -7.5g
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