9+15r-3=9r+71-7r

Solution for 9+15r-3=9r+71-7r equation:

Simplifying
9 + 15r + -3 = 9r + 71 + -7r

Reorder the terms:
9 + -3 + 15r = 9r + 71 + -7r

Combine like terms: 9 + -3 = 6
6 + 15r = 9r + 71 + -7r

Reorder the terms:
6 + 15r = 71 + 9r + -7r

Combine like terms: 9r + -7r = 2r
6 + 15r = 71 + 2r

Solving
6 + 15r = 71 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
6 + 15r + -2r = 71 + 2r + -2r

Combine like terms: 15r + -2r = 13r
6 + 13r = 71 + 2r + -2r

Combine like terms: 2r + -2r = 0
6 + 13r = 71 + 0
6 + 13r = 71

Add '-6' to each side of the equation.
6 + -6 + 13r = 71 + -6

Combine like terms: 6 + -6 = 0
0 + 13r = 71 + -6
13r = 71 + -6

Combine like terms: 71 + -6 = 65
13r = 65

Divide each side by '13'.
r = 5

Simplifying
r = 5