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Simplifying 9g + -3(7g + -3) = -10 + -13g Reorder the terms: 9g + -3(-3 + 7g) = -10 + -13g 9g + (-3 * -3 + 7g * -3) = -10 + -13g 9g + (9 + -21g) = -10 + -13g Reorder the terms: 9 + 9g + -21g = -10 + -13g Combine like terms: 9g + -21g = -12g 9 + -12g = -10 + -13g Solving 9 + -12g = -10 + -13g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '13g' to each side of the equation. 9 + -12g + 13g = -10 + -13g + 13g Combine like terms: -12g + 13g = 1g 9 + 1g = -10 + -13g + 13g Combine like terms: -13g + 13g = 0 9 + 1g = -10 + 0 9 + 1g = -10 Add '-9' to each side of the equation. 9 + -9 + 1g = -10 + -9 Combine like terms: 9 + -9 = 0 0 + 1g = -10 + -9 1g = -10 + -9 Combine like terms: -10 + -9 = -19 1g = -19 Divide each side by '1'. g = -19 Simplifying g = -19
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