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

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

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

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

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

Solving
6 + 6r = -4 + 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 + 6r + -2r = -4 + 2r + -2r

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

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

Add '-6' to each side of the equation.
6 + -6 + 4r = -4 + -6

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

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

Divide each side by '4'.
r = -2.5

Simplifying
r = -2.5