45=-2r+6+15r

Solution for 45=-2r+6+15r equation:

Simplifying
45 = -2r + 6 + 15r

Reorder the terms:
45 = 6 + -2r + 15r

Combine like terms: -2r + 15r = 13r
45 = 6 + 13r

Solving
45 = 6 + 13r

Solving for variable 'r'.

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

Add '-13r' to each side of the equation.
45 + -13r = 6 + 13r + -13r

Combine like terms: 13r + -13r = 0
45 + -13r = 6 + 0
45 + -13r = 6

Add '-45' to each side of the equation.
45 + -45 + -13r = 6 + -45

Combine like terms: 45 + -45 = 0
0 + -13r = 6 + -45
-13r = 6 + -45

Combine like terms: 6 + -45 = -39
-13r = -39

Divide each side by '-13'.
r = 3

Simplifying
r = 3