15(9r)+6=9r+6+51

Solution for 15(9r)+6=9r+6+51 equation:

Simplifying
15(9r) + 6 = 9r + 6 + 51

Remove parenthesis around (9r)
15 * 9r + 6 = 9r + 6 + 51

Multiply 15 * 9
135r + 6 = 9r + 6 + 51

Reorder the terms:
6 + 135r = 9r + 6 + 51

Reorder the terms:
6 + 135r = 6 + 51 + 9r

Combine like terms: 6 + 51 = 57
6 + 135r = 57 + 9r

Solving
6 + 135r = 57 + 9r

Solving for variable 'r'.

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

Add '-9r' to each side of the equation.
6 + 135r + -9r = 57 + 9r + -9r

Combine like terms: 135r + -9r = 126r
6 + 126r = 57 + 9r + -9r

Combine like terms: 9r + -9r = 0
6 + 126r = 57 + 0
6 + 126r = 57

Add '-6' to each side of the equation.
6 + -6 + 126r = 57 + -6

Combine like terms: 6 + -6 = 0
0 + 126r = 57 + -6
126r = 57 + -6

Combine like terms: 57 + -6 = 51
126r = 51

Divide each side by '126'.
r = 0.4047619048

Simplifying
r = 0.4047619048