4r-1-6r+7=11r+3-10r

Solution for 4r-1-6r+7=11r+3-10r equation:

Simplifying
4r + -1 + -6r + 7 = 11r + 3 + -10r

Reorder the terms:
-1 + 7 + 4r + -6r = 11r + 3 + -10r

Combine like terms: -1 + 7 = 6
6 + 4r + -6r = 11r + 3 + -10r

Combine like terms: 4r + -6r = -2r
6 + -2r = 11r + 3 + -10r

Reorder the terms:
6 + -2r = 3 + 11r + -10r

Combine like terms: 11r + -10r = 1r
6 + -2r = 3 + 1r

Solving
6 + -2r = 3 + 1r

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 + -2r + -1r = 3 + 1r + -1r

Combine like terms: -2r + -1r = -3r
6 + -3r = 3 + 1r + -1r

Combine like terms: 1r + -1r = 0
6 + -3r = 3 + 0
6 + -3r = 3

Add '-6' to each side of the equation.
6 + -6 + -3r = 3 + -6

Combine like terms: 6 + -6 = 0
0 + -3r = 3 + -6
-3r = 3 + -6

Combine like terms: 3 + -6 = -3
-3r = -3

Divide each side by '-3'.
r = 1

Simplifying
r = 1