3(3r-1)=4(7u+6)

Solution for 3(3r-1)=4(7u+6) equation:

Simplifying
3(3r + -1) = 4(7u + 6)

Reorder the terms:
3(-1 + 3r) = 4(7u + 6)
(-1 * 3 + 3r * 3) = 4(7u + 6)
(-3 + 9r) = 4(7u + 6)

Reorder the terms:
-3 + 9r = 4(6 + 7u)
-3 + 9r = (6 * 4 + 7u * 4)
-3 + 9r = (24 + 28u)

Solving
-3 + 9r = 24 + 28u

Solving for variable 'r'.

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

Add '3' to each side of the equation.
-3 + 3 + 9r = 24 + 3 + 28u

Combine like terms: -3 + 3 = 0
0 + 9r = 24 + 3 + 28u
9r = 24 + 3 + 28u

Combine like terms: 24 + 3 = 27
9r = 27 + 28u

Divide each side by '9'.
r = 3 + 3.111111111u

Simplifying
r = 3 + 3.111111111u