https://file.aiquickdraw.com/mathbot/file/1725891642032m9xawfaa.jpg

The equation provided is:

\[
T = M(2 + FG)
\]

We need to solve for \( G \). Let's go through the steps:

### Step 1: Expand the equation.
\[
T = M(2 + FG) = M \cdot 2 + M \cdot FG = 2M + MFG
\]
Thus, the equation becomes:
\[
T = 2M + MFG
\]

### Step 2: Isolate the term with \( G \).
Subtract \( 2M \) from both sides:
\[
T - 2M = MFG
\]

### Step 3: Solve for \( G \).
Divide both sides by \( MF \):
\[
G = \frac{T - 2M}{MF}
\]

So, the solution for \( G \) is:
\[
G = \frac{T - 2M}{MF}
\]

Would you like further details or have any questions on this solution?

Here are 5 related questions you might find interesting:
1. How would the solution change if there were an additional constant term?
2. Can you solve for \( M \) instead of \( G \) in this equation?
3. What if \( F \) were a function of \( G \)? How would this affect the steps?
4. What happens when \( M = 0 \) in the equation?
5. Can you factor the equation to express \( G \) differently?

**Tip:** Always check if any variable (like \( M \) or \( F \)) could be zero, as it may lead to undefined expressions in equations.

Learn how to solve the linear equation T = M(2 + FG) for G using algebraic steps such as expanding the equation, isolating the term with G, and solving for G. Suitable for students in Grades 9-11.

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