-6(r+1)=5(1-r)

Solution for -6(r+1)=5(1-r) equation:

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

Reorder the terms:
-6(1 + r) = 5(1 + -1r)
(1 * -6 + r * -6) = 5(1 + -1r)
(-6 + -6r) = 5(1 + -1r)
-6 + -6r = (1 * 5 + -1r * 5)
-6 + -6r = (5 + -5r)

Solving
-6 + -6r = 5 + -5r

Solving for variable 'r'.

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

Add '5r' to each side of the equation.
-6 + -6r + 5r = 5 + -5r + 5r

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

Combine like terms: -5r + 5r = 0
-6 + -1r = 5 + 0
-6 + -1r = 5

Add '6' to each side of the equation.
-6 + 6 + -1r = 5 + 6

Combine like terms: -6 + 6 = 0
0 + -1r = 5 + 6
-1r = 5 + 6

Combine like terms: 5 + 6 = 11
-1r = 11

Divide each side by '-1'.
r = -11

Simplifying
r = -11