(r-4s+5)+(5r+s)+(s-2)=

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Solution for (r-4s+5)+(5r+s)+(s-2)= equation:


Simplifying
(r + -4s + 5) + (5r + s) + (s + -2) = 0

Reorder the terms:
(5 + r + -4s) + (5r + s) + (s + -2) = 0

Remove parenthesis around (5 + r + -4s)
5 + r + -4s + (5r + s) + (s + -2) = 0

Remove parenthesis around (5r + s)
5 + r + -4s + 5r + s + (s + -2) = 0

Reorder the terms:
5 + r + -4s + 5r + s + (-2 + s) = 0

Remove parenthesis around (-2 + s)
5 + r + -4s + 5r + s + -2 + s = 0

Reorder the terms:
5 + -2 + r + 5r + -4s + s + s = 0

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

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

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

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

Solving
3 + 6r + -2s = 0

Solving for variable 'r'.

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

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

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

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

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

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

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

Divide each side by '6'.
r = -0.5 + 0.3333333333s

Simplifying
r = -0.5 + 0.3333333333s

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