6-r=-1+7(1-5r)

Solution for 6-r=-1+7(1-5r) equation:

Simplifying
6 + -1r = -1 + 7(1 + -5r)
6 + -1r = -1 + (1 * 7 + -5r * 7)
6 + -1r = -1 + (7 + -35r)

Combine like terms: -1 + 7 = 6
6 + -1r = 6 + -35r

Add '-6' to each side of the equation.
6 + -6 + -1r = 6 + -6 + -35r

Combine like terms: 6 + -6 = 0
0 + -1r = 6 + -6 + -35r
-1r = 6 + -6 + -35r

Combine like terms: 6 + -6 = 0
-1r = 0 + -35r
-1r = -35r

Solving
-1r = -35r

Solving for variable 'r'.

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

Add '35r' to each side of the equation.
-1r + 35r = -35r + 35r

Combine like terms: -1r + 35r = 34r
34r = -35r + 35r

Combine like terms: -35r + 35r = 0
34r = 0

Divide each side by '34'.
r = 0

Simplifying
r = 0