The image presents a series of algebraic equations. I will solve problem number 41, which asks to solve the equation $\frac{5-7a}{3} = 2$.

1. Problem Description

The image presents a series of algebraic equations. I will solve problem number 41, which asks to solve the equation $\frac{5-7a}{3} = 2$.

2. Solution Steps

To solve for $a$, we need to isolate $a$ on one side of the equation.

First, multiply both sides of the equation by 3:

$$$$

\frac{5-7a}{3} \times 3 = 2 \times 3

$$$$

$$$$

5 - 7a = 6

$$$$

Next, subtract 5 from both sides of the equation:

$$$$

5 - 7a - 5 = 6 - 5

$$$$

$$$$

-7a = 1

$$$$

Finally, divide both sides of the equation by -7:

$$$$

\frac{-7a}{-7} = \frac{1}{-7}

$$$$

$$$$

a = -\frac{1}{7}

$$$$

3. Final Answer

$a = -\frac{1}{7}$