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Simplifying 2g + 3 + 4g = -3(17 + 7g) Reorder the terms: 3 + 2g + 4g = -3(17 + 7g) Combine like terms: 2g + 4g = 6g 3 + 6g = -3(17 + 7g) 3 + 6g = (17 * -3 + 7g * -3) 3 + 6g = (-51 + -21g) Solving 3 + 6g = -51 + -21g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '21g' to each side of the equation. 3 + 6g + 21g = -51 + -21g + 21g Combine like terms: 6g + 21g = 27g 3 + 27g = -51 + -21g + 21g Combine like terms: -21g + 21g = 0 3 + 27g = -51 + 0 3 + 27g = -51 Add '-3' to each side of the equation. 3 + -3 + 27g = -51 + -3 Combine like terms: 3 + -3 = 0 0 + 27g = -51 + -3 27g = -51 + -3 Combine like terms: -51 + -3 = -54 27g = -54 Divide each side by '27'. g = -2 Simplifying g = -2
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