4-4r=6-1(1+5r)

Solution for 4-4r=6-1(1+5r) equation:

Simplifying
4 + -4r = 6 + -1(1 + 5r)
4 + -4r = 6 + (1 * -1 + 5r * -1)
4 + -4r = 6 + (-1 + -5r)

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

Solving
4 + -4r = 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.
4 + -4r + 5r = 5 + -5r + 5r

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

Combine like terms: -5r + 5r = 0
4 + 1r = 5 + 0
4 + 1r = 5

Add '-4' to each side of the equation.
4 + -4 + 1r = 5 + -4

Combine like terms: 4 + -4 = 0
0 + 1r = 5 + -4
1r = 5 + -4

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

Divide each side by '1'.
r = 1

Simplifying
r = 1