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Simplifying 3g + 8 + -6g = -5g + 42 Reorder the terms: 8 + 3g + -6g = -5g + 42 Combine like terms: 3g + -6g = -3g 8 + -3g = -5g + 42 Reorder the terms: 8 + -3g = 42 + -5g Solving 8 + -3g = 42 + -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. 8 + -3g + 5g = 42 + -5g + 5g Combine like terms: -3g + 5g = 2g 8 + 2g = 42 + -5g + 5g Combine like terms: -5g + 5g = 0 8 + 2g = 42 + 0 8 + 2g = 42 Add '-8' to each side of the equation. 8 + -8 + 2g = 42 + -8 Combine like terms: 8 + -8 = 0 0 + 2g = 42 + -8 2g = 42 + -8 Combine like terms: 42 + -8 = 34 2g = 34 Divide each side by '2'. g = 17 Simplifying g = 17
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