-6+r=-8(6-r)

Solution for -6+r=-8(6-r) equation:

Simplifying
-6 + r = -8(6 + -1r)
-6 + r = (6 * -8 + -1r * -8)
-6 + r = (-48 + 8r)

Solving
-6 + r = -48 + 8r

Solving for variable 'r'.

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

Add '-8r' to each side of the equation.
-6 + r + -8r = -48 + 8r + -8r

Combine like terms: r + -8r = -7r
-6 + -7r = -48 + 8r + -8r

Combine like terms: 8r + -8r = 0
-6 + -7r = -48 + 0
-6 + -7r = -48

Add '6' to each side of the equation.
-6 + 6 + -7r = -48 + 6

Combine like terms: -6 + 6 = 0
0 + -7r = -48 + 6
-7r = -48 + 6

Combine like terms: -48 + 6 = -42
-7r = -42

Divide each side by '-7'.
r = 6

Simplifying
r = 6