6+(8r-2)=6+5*(r-1)

Solution for 6+(8r-2)=6+5*(r-1) equation:

Simplifying
6 + (8r + -2) = 6 + 5(r + -1)

Reorder the terms:
6 + (-2 + 8r) = 6 + 5(r + -1)

Remove parenthesis around (-2 + 8r)
6 + -2 + 8r = 6 + 5(r + -1)

Combine like terms: 6 + -2 = 4
4 + 8r = 6 + 5(r + -1)

Reorder the terms:
4 + 8r = 6 + 5(-1 + r)
4 + 8r = 6 + (-1 * 5 + r * 5)
4 + 8r = 6 + (-5 + 5r)

Combine like terms: 6 + -5 = 1
4 + 8r = 1 + 5r

Solving
4 + 8r = 1 + 5r

Solving for variable 'r'.

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

Add '-5r' to each side of the equation.
4 + 8r + -5r = 1 + 5r + -5r

Combine like terms: 8r + -5r = 3r
4 + 3r = 1 + 5r + -5r

Combine like terms: 5r + -5r = 0
4 + 3r = 1 + 0
4 + 3r = 1

Add '-4' to each side of the equation.
4 + -4 + 3r = 1 + -4

Combine like terms: 4 + -4 = 0
0 + 3r = 1 + -4
3r = 1 + -4

Combine like terms: 1 + -4 = -3
3r = -3

Divide each side by '3'.
r = -1

Simplifying
r = -1