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

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


Simplifying
2r + (5 + -1r) = 13 + 2r

Remove parenthesis around (5 + -1r)
2r + 5 + -1r = 13 + 2r

Reorder the terms:
5 + 2r + -1r = 13 + 2r

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

Solving
5 + 1r = 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 + 1r + -2r = 13 + 2r + -2r

Combine like terms: 1r + -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 = 8
-1r = 8

Divide each side by '-1'.
r = -8

Simplifying
r = -8

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