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Simplifying 2f + 7g + -7 + 8g = 0 Reorder the terms: -7 + 2f + 7g + 8g = 0 Combine like terms: 7g + 8g = 15g -7 + 2f + 15g = 0 Solving -7 + 2f + 15g = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 2f + 7 + 15g = 0 + 7 Reorder the terms: -7 + 7 + 2f + 15g = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2f + 15g = 0 + 7 2f + 15g = 0 + 7 Combine like terms: 0 + 7 = 7 2f + 15g = 7 Add '-15g' to each side of the equation. 2f + 15g + -15g = 7 + -15g Combine like terms: 15g + -15g = 0 2f + 0 = 7 + -15g 2f = 7 + -15g Divide each side by '2'. f = 3.5 + -7.5g Simplifying f = 3.5 + -7.5g
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