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

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

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

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

Solving
-21 + 3r = -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 + 3r + -6r = -6 + 6r + -6r

Combine like terms: 3r + -6r = -3r
-21 + -3r = -6 + 6r + -6r

Combine like terms: 6r + -6r = 0
-21 + -3r = -6 + 0
-21 + -3r = -6

Add '21' to each side of the equation.
-21 + 21 + -3r = -6 + 21

Combine like terms: -21 + 21 = 0
0 + -3r = -6 + 21
-3r = -6 + 21

Combine like terms: -6 + 21 = 15
-3r = 15

Divide each side by '-3'.
r = -5

Simplifying
r = -5