6(r-1)=3(r-4)+6

Solution for 6(r-1)=3(r-4)+6 equation:

Simplifying
6(r + -1) = 3(r + -4) + 6

Reorder the terms:
6(-1 + r) = 3(r + -4) + 6
(-1 * 6 + r * 6) = 3(r + -4) + 6
(-6 + 6r) = 3(r + -4) + 6

Reorder the terms:
-6 + 6r = 3(-4 + r) + 6
-6 + 6r = (-4 * 3 + r * 3) + 6
-6 + 6r = (-12 + 3r) + 6

Reorder the terms:
-6 + 6r = -12 + 6 + 3r

Combine like terms: -12 + 6 = -6
-6 + 6r = -6 + 3r

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

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

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

Solving
6r = 3r

Solving for variable 'r'.

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

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

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

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

Divide each side by '3'.
r = 0

Simplifying
r = 0