3+3r-1=9r+3-7r

Solution for 3+3r-1=9r+3-7r equation:

Simplifying
3 + 3r + -1 = 9r + 3 + -7r

Reorder the terms:
3 + -1 + 3r = 9r + 3 + -7r

Combine like terms: 3 + -1 = 2
2 + 3r = 9r + 3 + -7r

Reorder the terms:
2 + 3r = 3 + 9r + -7r

Combine like terms: 9r + -7r = 2r
2 + 3r = 3 + 2r

Solving
2 + 3r = 3 + 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.
2 + 3r + -2r = 3 + 2r + -2r

Combine like terms: 3r + -2r = 1r
2 + 1r = 3 + 2r + -2r

Combine like terms: 2r + -2r = 0
2 + 1r = 3 + 0
2 + 1r = 3

Add '-2' to each side of the equation.
2 + -2 + 1r = 3 + -2

Combine like terms: 2 + -2 = 0
0 + 1r = 3 + -2
1r = 3 + -2

Combine like terms: 3 + -2 = 1
1r = 1

Divide each side by '1'.
r = 1

Simplifying
r = 1