-5r+6(6-3r)=105

Solution for -5r+6(6-3r)=105 equation:

Simplifying
-5r + 6(6 + -3r) = 105
-5r + (6 * 6 + -3r * 6) = 105
-5r + (36 + -18r) = 105

Reorder the terms:
36 + -5r + -18r = 105

Combine like terms: -5r + -18r = -23r
36 + -23r = 105

Solving
36 + -23r = 105

Solving for variable 'r'.

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

Add '-36' to each side of the equation.
36 + -36 + -23r = 105 + -36

Combine like terms: 36 + -36 = 0
0 + -23r = 105 + -36
-23r = 105 + -36

Combine like terms: 105 + -36 = 69
-23r = 69

Divide each side by '-23'.
r = -3

Simplifying
r = -3