3(1-r)=-7r+35

Solution for 3(1-r)=-7r+35 equation:

Simplifying
3(1 + -1r) = -7r + 35
(1 * 3 + -1r * 3) = -7r + 35
(3 + -3r) = -7r + 35

Reorder the terms:
3 + -3r = 35 + -7r

Solving
3 + -3r = 35 + -7r

Solving for variable 'r'.

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

Add '7r' to each side of the equation.
3 + -3r + 7r = 35 + -7r + 7r

Combine like terms: -3r + 7r = 4r
3 + 4r = 35 + -7r + 7r

Combine like terms: -7r + 7r = 0
3 + 4r = 35 + 0
3 + 4r = 35

Add '-3' to each side of the equation.
3 + -3 + 4r = 35 + -3

Combine like terms: 3 + -3 = 0
0 + 4r = 35 + -3
4r = 35 + -3

Combine like terms: 35 + -3 = 32
4r = 32

Divide each side by '4'.
r = 8

Simplifying
r = 8