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Simplifying 8f + -3g + 2f + -6g = 10f + -3g Reorder the terms: 8f + 2f + -3g + -6g = 10f + -3g Combine like terms: 8f + 2f = 10f 10f + -3g + -6g = 10f + -3g Combine like terms: -3g + -6g = -9g 10f + -9g = 10f + -3g Add '-10f' to each side of the equation. 10f + -10f + -9g = 10f + -10f + -3g Combine like terms: 10f + -10f = 0 0 + -9g = 10f + -10f + -3g -9g = 10f + -10f + -3g Combine like terms: 10f + -10f = 0 -9g = 0 + -3g -9g = -3g Solving -9g = -3g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '3g' to each side of the equation. -9g + 3g = -3g + 3g Combine like terms: -9g + 3g = -6g -6g = -3g + 3g Combine like terms: -3g + 3g = 0 -6g = 0 Divide each side by '-6'. g = 0 Simplifying g = 0
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