2r-6=9-3r

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Solution for 2r-6=9-3r equation:


Simplifying
2r + -6 = 9 + -3r

Reorder the terms:
-6 + 2r = 9 + -3r

Solving
-6 + 2r = 9 + -3r

Solving for variable 'r'.

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

Add '3r' to each side of the equation.
-6 + 2r + 3r = 9 + -3r + 3r

Combine like terms: 2r + 3r = 5r
-6 + 5r = 9 + -3r + 3r

Combine like terms: -3r + 3r = 0
-6 + 5r = 9 + 0
-6 + 5r = 9

Add '6' to each side of the equation.
-6 + 6 + 5r = 9 + 6

Combine like terms: -6 + 6 = 0
0 + 5r = 9 + 6
5r = 9 + 6

Combine like terms: 9 + 6 = 15
5r = 15

Divide each side by '5'.
r = 3

Simplifying
r = 3

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