4/3 r+5/3=11/3. I don't understand the work

Here's to break it down

Simplifying

2 (3r + 4) + - 3 (r + 1) = 11

Reorder the terms:

2 (4 + 3r) + - 3 (r + 1) = 11

(4 * 2 + 3r * 2) + - 3 (r + 1) = 11

(8 + 6r) + - 3 (r + 1) = 11

Reorder the terms:

8 + 6r + - 3 (1 + r) = 11

8 + 6r + (1 * - 3 + r * - 3) = 11

8 + 6r + (-3 + - 3r) = 11

Reorder the terms:

8 + - 3 + 6r + - 3r = 11

Combine like terms: 8 + - 3 = 5

5 + 6r + - 3r = 11

Combine like terms: 6r + - 3r = 3r

5 + 3r = 11

Solving

5 + 3r = 11

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '-5' to each side of the equation.

5 + - 5 + 3r = 11 + - 5

Combine like terms: 5 + - 5 = 0

0 + 3r = 11 + - 5

3r = 11 + - 5

Combine like terms: 11 + - 5 = 6

3r = 6

Divide each side by '3'.

r = 2

Simplifying

r = 2

Multiply the entire equation by three to get 4 + r + 5 = 11.

r = 2.