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Simplifying 6g + -8 + (-7) = 3g + 1 + g 6g + -8 + -7 = 3g + 1 + g Reorder the terms: -8 + -7 + 6g = 3g + 1 + g Combine like terms: -8 + -7 = -15 -15 + 6g = 3g + 1 + g Reorder the terms: -15 + 6g = 1 + 3g + g Combine like terms: 3g + g = 4g -15 + 6g = 1 + 4g Solving -15 + 6g = 1 + 4g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-4g' to each side of the equation. -15 + 6g + -4g = 1 + 4g + -4g Combine like terms: 6g + -4g = 2g -15 + 2g = 1 + 4g + -4g Combine like terms: 4g + -4g = 0 -15 + 2g = 1 + 0 -15 + 2g = 1 Add '15' to each side of the equation. -15 + 15 + 2g = 1 + 15 Combine like terms: -15 + 15 = 0 0 + 2g = 1 + 15 2g = 1 + 15 Combine like terms: 1 + 15 = 16 2g = 16 Divide each side by '2'. g = 8 Simplifying g = 8
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