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Simplifying 3 + 5g = 18 + -9(2g + -6) Reorder the terms: 3 + 5g = 18 + -9(-6 + 2g) 3 + 5g = 18 + (-6 * -9 + 2g * -9) 3 + 5g = 18 + (54 + -18g) Combine like terms: 18 + 54 = 72 3 + 5g = 72 + -18g Solving 3 + 5g = 72 + -18g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '18g' to each side of the equation. 3 + 5g + 18g = 72 + -18g + 18g Combine like terms: 5g + 18g = 23g 3 + 23g = 72 + -18g + 18g Combine like terms: -18g + 18g = 0 3 + 23g = 72 + 0 3 + 23g = 72 Add '-3' to each side of the equation. 3 + -3 + 23g = 72 + -3 Combine like terms: 3 + -3 = 0 0 + 23g = 72 + -3 23g = 72 + -3 Combine like terms: 72 + -3 = 69 23g = 69 Divide each side by '23'. g = 3 Simplifying g = 3
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