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Simplifying 6g + 1 = -47 + -2g Reorder the terms: 1 + 6g = -47 + -2g Solving 1 + 6g = -47 + -2g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '2g' to each side of the equation. 1 + 6g + 2g = -47 + -2g + 2g Combine like terms: 6g + 2g = 8g 1 + 8g = -47 + -2g + 2g Combine like terms: -2g + 2g = 0 1 + 8g = -47 + 0 1 + 8g = -47 Add '-1' to each side of the equation. 1 + -1 + 8g = -47 + -1 Combine like terms: 1 + -1 = 0 0 + 8g = -47 + -1 8g = -47 + -1 Combine like terms: -47 + -1 = -48 8g = -48 Divide each side by '8'. g = -6 Simplifying g = -6
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