6(r-2)+2(r-53)=2

Solution for 6(r-2)+2(r-53)=2 equation:

Simplifying
6(r + -2) + 2(r + -53) = 2

Reorder the terms:
6(-2 + r) + 2(r + -53) = 2
(-2 * 6 + r * 6) + 2(r + -53) = 2
(-12 + 6r) + 2(r + -53) = 2

Reorder the terms:
-12 + 6r + 2(-53 + r) = 2
-12 + 6r + (-53 * 2 + r * 2) = 2
-12 + 6r + (-106 + 2r) = 2

Reorder the terms:
-12 + -106 + 6r + 2r = 2

Combine like terms: -12 + -106 = -118
-118 + 6r + 2r = 2

Combine like terms: 6r + 2r = 8r
-118 + 8r = 2

Solving
-118 + 8r = 2

Solving for variable 'r'.

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

Add '118' to each side of the equation.
-118 + 118 + 8r = 2 + 118

Combine like terms: -118 + 118 = 0
0 + 8r = 2 + 118
8r = 2 + 118

Combine like terms: 2 + 118 = 120
8r = 120

Divide each side by '8'.
r = 15

Simplifying
r = 15