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Simplifying 4g + 7 = 6g + -1 + -1g Reorder the terms: 7 + 4g = 6g + -1 + -1g Reorder the terms: 7 + 4g = -1 + 6g + -1g Combine like terms: 6g + -1g = 5g 7 + 4g = -1 + 5g Solving 7 + 4g = -1 + 5g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-5g' to each side of the equation. 7 + 4g + -5g = -1 + 5g + -5g Combine like terms: 4g + -5g = -1g 7 + -1g = -1 + 5g + -5g Combine like terms: 5g + -5g = 0 7 + -1g = -1 + 0 7 + -1g = -1 Add '-7' to each side of the equation. 7 + -7 + -1g = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -1g = -1 + -7 -1g = -1 + -7 Combine like terms: -1 + -7 = -8 -1g = -8 Divide each side by '-1'. g = 8 Simplifying g = 8
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