6=2(r+1)

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

Simplifying
6 = 2(r + 1)

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

Solving
6 = 2 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
6 + -2r = 2 + 2r + -2r

Combine like terms: 2r + -2r = 0
6 + -2r = 2 + 0
6 + -2r = 2

Add '-6' to each side of the equation.
6 + -6 + -2r = 2 + -6

Combine like terms: 6 + -6 = 0
0 + -2r = 2 + -6
-2r = 2 + -6

Combine like terms: 2 + -6 = -4
-2r = -4

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

Simplifying
r = 2