2(r+6)=4(r+1)

Solution for 2(r+6)=4(r+1) equation:

Simplifying
2(r + 6) = 4(r + 1)

Reorder the terms:
2(6 + r) = 4(r + 1)
(6 * 2 + r * 2) = 4(r + 1)
(12 + 2r) = 4(r + 1)

Reorder the terms:
12 + 2r = 4(1 + r)
12 + 2r = (1 * 4 + r * 4)
12 + 2r = (4 + 4r)

Solving
12 + 2r = 4 + 4r

Solving for variable 'r'.

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

Add '-4r' to each side of the equation.
12 + 2r + -4r = 4 + 4r + -4r

Combine like terms: 2r + -4r = -2r
12 + -2r = 4 + 4r + -4r

Combine like terms: 4r + -4r = 0
12 + -2r = 4 + 0
12 + -2r = 4

Add '-12' to each side of the equation.
12 + -12 + -2r = 4 + -12

Combine like terms: 12 + -12 = 0
0 + -2r = 4 + -12
-2r = 4 + -12

Combine like terms: 4 + -12 = -8
-2r = -8

Divide each side by '-2'.
r = 4

Simplifying
r = 4