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

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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 = 4
4 + -1r + 4r + -3s + 1s = 0

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

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

Solving
4 + 3r + -2s = 0

Solving for variable 'r'.

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

Add '-4' to each side of the equation.
4 + 3r + -4 + -2s = 0 + -4

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

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

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

Add '2s' to each side of the equation.
3r + -2s + 2s = -4 + 2s

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

Divide each side by '3'.
r = -1.333333333 + 0.6666666667s

Simplifying
r = -1.333333333 + 0.6666666667s

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