6+3r=4(r+2)

Solution for 6+3r=4(r+2) equation:

Simplifying
6 + 3r = 4(r + 2)

Reorder the terms:
6 + 3r = 4(2 + r)
6 + 3r = (2 * 4 + r * 4)
6 + 3r = (8 + 4r)

Solving
6 + 3r = 8 + 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.
6 + 3r + -4r = 8 + 4r + -4r

Combine like terms: 3r + -4r = -1r
6 + -1r = 8 + 4r + -4r

Combine like terms: 4r + -4r = 0
6 + -1r = 8 + 0
6 + -1r = 8

Add '-6' to each side of the equation.
6 + -6 + -1r = 8 + -6

Combine like terms: 6 + -6 = 0
0 + -1r = 8 + -6
-1r = 8 + -6

Combine like terms: 8 + -6 = 2
-1r = 2

Divide each side by '-1'.
r = -2

Simplifying
r = -2