3+2r-2=5r+9-2r

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Solution for 3+2r-2=5r+9-2r equation:


Simplifying
3 + 2r + -2 = 5r + 9 + -2r

Reorder the terms:
3 + -2 + 2r = 5r + 9 + -2r

Combine like terms: 3 + -2 = 1
1 + 2r = 5r + 9 + -2r

Reorder the terms:
1 + 2r = 9 + 5r + -2r

Combine like terms: 5r + -2r = 3r
1 + 2r = 9 + 3r

Solving
1 + 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.
1 + 2r + -3r = 9 + 3r + -3r

Combine like terms: 2r + -3r = -1r
1 + -1r = 9 + 3r + -3r

Combine like terms: 3r + -3r = 0
1 + -1r = 9 + 0
1 + -1r = 9

Add '-1' to each side of the equation.
1 + -1 + -1r = 9 + -1

Combine like terms: 1 + -1 = 0
0 + -1r = 9 + -1
-1r = 9 + -1

Combine like terms: 9 + -1 = 8
-1r = 8

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

Simplifying
r = -8

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