6(r+1)-2+2(r-5)=

Solution for 6(r+1)-2+2(r-5)= equation:

Simplifying
6(r + 1) + -2 + 2(r + -5) = 0

Reorder the terms:
6(1 + r) + -2 + 2(r + -5) = 0
(1 * 6 + r * 6) + -2 + 2(r + -5) = 0
(6 + 6r) + -2 + 2(r + -5) = 0

Reorder the terms:
6 + 6r + -2 + 2(-5 + r) = 0
6 + 6r + -2 + (-5 * 2 + r * 2) = 0
6 + 6r + -2 + (-10 + 2r) = 0

Reorder the terms:
6 + -2 + -10 + 6r + 2r = 0

Combine like terms: 6 + -2 = 4
4 + -10 + 6r + 2r = 0

Combine like terms: 4 + -10 = -6
-6 + 6r + 2r = 0

Combine like terms: 6r + 2r = 8r
-6 + 8r = 0

Solving
-6 + 8r = 0

Solving for variable 'r'.

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

Add '6' to each side of the equation.
-6 + 6 + 8r = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 8r = 0 + 6
8r = 0 + 6

Combine like terms: 0 + 6 = 6
8r = 6

Divide each side by '8'.
r = 0.75

Simplifying
r = 0.75