-5r-6+4r=r+2

Solution for -5r-6+4r=r+2 equation:

Simplifying
-5r + -6 + 4r = r + 2

Reorder the terms:
-6 + -5r + 4r = r + 2

Combine like terms: -5r + 4r = -1r
-6 + -1r = r + 2

Reorder the terms:
-6 + -1r = 2 + r

Solving
-6 + -1r = 2 + r

Solving for variable 'r'.

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

Add '-1r' to each side of the equation.
-6 + -1r + -1r = 2 + r + -1r

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

Combine like terms: r + -1r = 0
-6 + -2r = 2 + 0
-6 + -2r = 2

Add '6' to each side of the equation.
-6 + 6 + -2r = 2 + 6

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

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

Divide each side by '-2'.
r = -4

Simplifying
r = -4