-3-5(r-1)=4(1-r)

Solution for -3-5(r-1)=4(1-r) equation:

Simplifying
-3 + -5(r + -1) = 4(1 + -1r)

Reorder the terms:
-3 + -5(-1 + r) = 4(1 + -1r)
-3 + (-1 * -5 + r * -5) = 4(1 + -1r)
-3 + (5 + -5r) = 4(1 + -1r)

Combine like terms: -3 + 5 = 2
2 + -5r = 4(1 + -1r)
2 + -5r = (1 * 4 + -1r * 4)
2 + -5r = (4 + -4r)

Solving
2 + -5r = 4 + -4r

Solving for variable 'r'.

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

Add '4r' to each side of the equation.
2 + -5r + 4r = 4 + -4r + 4r

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

Combine like terms: -4r + 4r = 0
2 + -1r = 4 + 0
2 + -1r = 4

Add '-2' to each side of the equation.
2 + -2 + -1r = 4 + -2

Combine like terms: 2 + -2 = 0
0 + -1r = 4 + -2
-1r = 4 + -2

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

Divide each side by '-1'.
r = -2

Simplifying
r = -2