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Simplifying 10g + -3g + -12 = 9g + 32 Reorder the terms: -12 + 10g + -3g = 9g + 32 Combine like terms: 10g + -3g = 7g -12 + 7g = 9g + 32 Reorder the terms: -12 + 7g = 32 + 9g Solving -12 + 7g = 32 + 9g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-9g' to each side of the equation. -12 + 7g + -9g = 32 + 9g + -9g Combine like terms: 7g + -9g = -2g -12 + -2g = 32 + 9g + -9g Combine like terms: 9g + -9g = 0 -12 + -2g = 32 + 0 -12 + -2g = 32 Add '12' to each side of the equation. -12 + 12 + -2g = 32 + 12 Combine like terms: -12 + 12 = 0 0 + -2g = 32 + 12 -2g = 32 + 12 Combine like terms: 32 + 12 = 44 -2g = 44 Divide each side by '-2'. g = -22 Simplifying g = -22
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