6(5r-11)-(5-r)=

Solution for 6(5r-11)-(5-r)= equation:

Simplifying
6(5r + -11) + -1(5 + -1r) = 0

Reorder the terms:
6(-11 + 5r) + -1(5 + -1r) = 0
(-11 * 6 + 5r * 6) + -1(5 + -1r) = 0
(-66 + 30r) + -1(5 + -1r) = 0
-66 + 30r + (5 * -1 + -1r * -1) = 0
-66 + 30r + (-5 + 1r) = 0

Reorder the terms:
-66 + -5 + 30r + 1r = 0

Combine like terms: -66 + -5 = -71
-71 + 30r + 1r = 0

Combine like terms: 30r + 1r = 31r
-71 + 31r = 0

Solving
-71 + 31r = 0

Solving for variable 'r'.

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

Add '71' to each side of the equation.
-71 + 71 + 31r = 0 + 71

Combine like terms: -71 + 71 = 0
0 + 31r = 0 + 71
31r = 0 + 71

Combine like terms: 0 + 71 = 71
31r = 71

Divide each side by '31'.
r = 2.290322581

Simplifying
r = 2.290322581