Final answer:
To solve for g in the equation 12g = 12(2/3g - 1)11, distribute the 12 to both terms inside the parentheses and simplify. Then, combine like terms and solve for g by dividing both sides by 4.
Step-by-step explanation:
To solve for g, we can start by simplifying the equation on the right side. Distribute the 12 to both terms inside the parentheses:
12g = 12(2/3g - 1)11
12g = 12(22/3g - 11)
Next, simplify the right side of the equation. Multiply 12 by both terms inside the parentheses:
12g = 12(22/3g - 11)
12g = (24/3g) - 12(11)
12g = (8g) - 132
Combine like terms on the right side of the equation:
12g = 8g - 132
Now, subtract 8g from both sides:
12g - 8g = 8g - 8g - 132
4g = -132
Finally, divide both sides by 4 to solve for g:
4g/4 = -132/4
g = -33