2r+(-5+r)=13+2r

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Solution for 2r+(-5+r)=13+2r equation:


Simplifying
2r + (-5 + r) = 13 + 2r

Remove parenthesis around (-5 + r)
2r + -5 + r = 13 + 2r

Reorder the terms:
-5 + 2r + r = 13 + 2r

Combine like terms: 2r + r = 3r
-5 + 3r = 13 + 2r

Solving
-5 + 3r = 13 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
-5 + 3r + -2r = 13 + 2r + -2r

Combine like terms: 3r + -2r = 1r
-5 + 1r = 13 + 2r + -2r

Combine like terms: 2r + -2r = 0
-5 + 1r = 13 + 0
-5 + 1r = 13

Add '5' to each side of the equation.
-5 + 5 + 1r = 13 + 5

Combine like terms: -5 + 5 = 0
0 + 1r = 13 + 5
1r = 13 + 5

Combine like terms: 13 + 5 = 18
1r = 18

Divide each side by '1'.
r = 18

Simplifying
r = 18

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