(9r-6)=(8r+3)

Solution for (9r-6)=(8r+3) equation:

Simplifying
(9r + -6) = (8r + 3)

Reorder the terms:
(-6 + 9r) = (8r + 3)

Remove parenthesis around (-6 + 9r)
-6 + 9r = (8r + 3)

Reorder the terms:
-6 + 9r = (3 + 8r)

Remove parenthesis around (3 + 8r)
-6 + 9r = 3 + 8r

Solving
-6 + 9r = 3 + 8r

Solving for variable 'r'.

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

Add '-8r' to each side of the equation.
-6 + 9r + -8r = 3 + 8r + -8r

Combine like terms: 9r + -8r = 1r
-6 + 1r = 3 + 8r + -8r

Combine like terms: 8r + -8r = 0
-6 + 1r = 3 + 0
-6 + 1r = 3

Add '6' to each side of the equation.
-6 + 6 + 1r = 3 + 6

Combine like terms: -6 + 6 = 0
0 + 1r = 3 + 6
1r = 3 + 6

Combine like terms: 3 + 6 = 9
1r = 9

Divide each side by '1'.
r = 9

Simplifying
r = 9