-6+2r=-8(-6-7r)

Solution for -6+2r=-8(-6-7r) equation:

Simplifying
-6 + 2r = -8(-6 + -7r)
-6 + 2r = (-6 * -8 + -7r * -8)
-6 + 2r = (48 + 56r)

Solving
-6 + 2r = 48 + 56r

Solving for variable 'r'.

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

Add '-56r' to each side of the equation.
-6 + 2r + -56r = 48 + 56r + -56r

Combine like terms: 2r + -56r = -54r
-6 + -54r = 48 + 56r + -56r

Combine like terms: 56r + -56r = 0
-6 + -54r = 48 + 0
-6 + -54r = 48

Add '6' to each side of the equation.
-6 + 6 + -54r = 48 + 6

Combine like terms: -6 + 6 = 0
0 + -54r = 48 + 6
-54r = 48 + 6

Combine like terms: 48 + 6 = 54
-54r = 54

Divide each side by '-54'.
r = -1

Simplifying
r = -1