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Simplifying 3g + -5 + 9g = 4 + 15g + 6 Reorder the terms: -5 + 3g + 9g = 4 + 15g + 6 Combine like terms: 3g + 9g = 12g -5 + 12g = 4 + 15g + 6 Reorder the terms: -5 + 12g = 4 + 6 + 15g Combine like terms: 4 + 6 = 10 -5 + 12g = 10 + 15g Solving -5 + 12g = 10 + 15g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-15g' to each side of the equation. -5 + 12g + -15g = 10 + 15g + -15g Combine like terms: 12g + -15g = -3g -5 + -3g = 10 + 15g + -15g Combine like terms: 15g + -15g = 0 -5 + -3g = 10 + 0 -5 + -3g = 10 Add '5' to each side of the equation. -5 + 5 + -3g = 10 + 5 Combine like terms: -5 + 5 = 0 0 + -3g = 10 + 5 -3g = 10 + 5 Combine like terms: 10 + 5 = 15 -3g = 15 Divide each side by '-3'. g = -5 Simplifying g = -5
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