2r-[5-r]=13+r

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Solution for 2r-[5-r]=13+r equation:


Simplifying
2r + -1[5 + -1r] = 13 + r
2r + [5 * -1 + -1r * -1] = 13 + r
2r + [-5 + 1r] = 13 + r

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

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

Solving
-5 + 3r = 13 + r

Solving for variable 'r'.

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

Add '-1r' to each side of the equation.
-5 + 3r + -1r = 13 + r + -1r

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

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

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

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

Combine like terms: 13 + 5 = 18
2r = 18

Divide each side by '2'.
r = 9

Simplifying
r = 9

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