r+6+3r=15-2r

Solution for r+6+3r=15-2r equation:

Simplifying
r + 6 + 3r = 15 + -2r

Reorder the terms:
6 + r + 3r = 15 + -2r

Combine like terms: r + 3r = 4r
6 + 4r = 15 + -2r

Solving
6 + 4r = 15 + -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 + 4r + 2r = 15 + -2r + 2r

Combine like terms: 4r + 2r = 6r
6 + 6r = 15 + -2r + 2r

Combine like terms: -2r + 2r = 0
6 + 6r = 15 + 0
6 + 6r = 15

Add '-6' to each side of the equation.
6 + -6 + 6r = 15 + -6

Combine like terms: 6 + -6 = 0
0 + 6r = 15 + -6
6r = 15 + -6

Combine like terms: 15 + -6 = 9
6r = 9

Divide each side by '6'.
r = 1.5

Simplifying
r = 1.5