(3-r)+(4r-3s+2)-(-1-s)=

Solution for (3-r)+(4r-3s+2)-(-1-s)= equation:

Simplifying
(3 + -1r) + (4r + -3s + 2) + -1(-1 + -1s) = 0

Remove parenthesis around (3 + -1r)
3 + -1r + (4r + -3s + 2) + -1(-1 + -1s) = 0

Reorder the terms:
3 + -1r + (2 + 4r + -3s) + -1(-1 + -1s) = 0

Remove parenthesis around (2 + 4r + -3s)
3 + -1r + 2 + 4r + -3s + -1(-1 + -1s) = 0
3 + -1r + 2 + 4r + -3s + (-1 * -1 + -1s * -1) = 0
3 + -1r + 2 + 4r + -3s + (1 + 1s) = 0

Reorder the terms:
3 + 2 + 1 + -1r + 4r + -3s + 1s = 0

Combine like terms: 3 + 2 = 5
5 + 1 + -1r + 4r + -3s + 1s = 0

Combine like terms: 5 + 1 = 6
6 + -1r + 4r + -3s + 1s = 0

Combine like terms: -1r + 4r = 3r
6 + 3r + -3s + 1s = 0

Combine like terms: -3s + 1s = -2s
6 + 3r + -2s = 0

Solving
6 + 3r + -2s = 0

Solving for variable 'r'.

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

Add '-6' to each side of the equation.
6 + 3r + -6 + -2s = 0 + -6

Reorder the terms:
6 + -6 + 3r + -2s = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 3r + -2s = 0 + -6
3r + -2s = 0 + -6

Combine like terms: 0 + -6 = -6
3r + -2s = -6

Add '2s' to each side of the equation.
3r + -2s + 2s = -6 + 2s

Combine like terms: -2s + 2s = 0
3r + 0 = -6 + 2s
3r = -6 + 2s

Divide each side by '3'.
r = -2 + 0.6666666667s

Simplifying
r = -2 + 0.6666666667s