3(7r-7)=-6+6r

Solution for 3(7r-7)=-6+6r equation:

Simplifying
3(7r + -7) = -6 + 6r

Reorder the terms:
3(-7 + 7r) = -6 + 6r
(-7 * 3 + 7r * 3) = -6 + 6r
(-21 + 21r) = -6 + 6r

Solving
-21 + 21r = -6 + 6r

Solving for variable 'r'.

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

Add '-6r' to each side of the equation.
-21 + 21r + -6r = -6 + 6r + -6r

Combine like terms: 21r + -6r = 15r
-21 + 15r = -6 + 6r + -6r

Combine like terms: 6r + -6r = 0
-21 + 15r = -6 + 0
-21 + 15r = -6

Add '21' to each side of the equation.
-21 + 21 + 15r = -6 + 21

Combine like terms: -21 + 21 = 0
0 + 15r = -6 + 21
15r = -6 + 21

Combine like terms: -6 + 21 = 15
15r = 15

Divide each side by '15'.
r = 1

Simplifying
r = 1