Final answer:
To solve the equation 36.24 = 79 + 3.69g, you subtract 79 from both sides and then divide by 3.69 to isolate 'g', resulting in g approximately equal to -11.58.
Step-by-step explanation:
The student is asking how to simplify the algebraic expression 36.24 = 79 + 3.69g. To find the value of 'g', we need to isolate 'g' by subtracting 79 from both sides of the equation, and then divide the result by 3.69.
First, subtract 79 from both sides:
36.24 - 79 = 79 - 79 + 3.69g
Now simplify:
-42.76 = 3.69g
Next, divide both sides by 3.69 to solve for 'g':
g = -42.76 / 3.69
When you divide -42.76 by 3.69, you get g ≈ -11.58 (rounded to two decimal places, as the original numbers were given to two decimal places).
Therefore, the simplified answer for 'g' is approximately -11.58.