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

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

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

Reorder the terms:
6 + -8r = -8r + -6(-7 + 6r)
6 + -8r = -8r + (-7 * -6 + 6r * -6)
6 + -8r = -8r + (42 + -36r)

Reorder the terms:
6 + -8r = 42 + -8r + -36r

Combine like terms: -8r + -36r = -44r
6 + -8r = 42 + -44r

Solving
6 + -8r = 42 + -44r

Solving for variable 'r'.

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

Add '44r' to each side of the equation.
6 + -8r + 44r = 42 + -44r + 44r

Combine like terms: -8r + 44r = 36r
6 + 36r = 42 + -44r + 44r

Combine like terms: -44r + 44r = 0
6 + 36r = 42 + 0
6 + 36r = 42

Add '-6' to each side of the equation.
6 + -6 + 36r = 42 + -6

Combine like terms: 6 + -6 = 0
0 + 36r = 42 + -6
36r = 42 + -6

Combine like terms: 42 + -6 = 36
36r = 36

Divide each side by '36'.
r = 1

Simplifying
r = 1