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

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


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

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

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

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

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

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

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

Divide each side by '5'.
r = 3.6

Simplifying
r = 3.6

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