9+2r-1=8r+9-5r

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Solution for 9+2r-1=8r+9-5r equation:


Simplifying
9 + 2r + -1 = 8r + 9 + -5r

Reorder the terms:
9 + -1 + 2r = 8r + 9 + -5r

Combine like terms: 9 + -1 = 8
8 + 2r = 8r + 9 + -5r

Reorder the terms:
8 + 2r = 9 + 8r + -5r

Combine like terms: 8r + -5r = 3r
8 + 2r = 9 + 3r

Solving
8 + 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.
8 + 2r + -3r = 9 + 3r + -3r

Combine like terms: 2r + -3r = -1r
8 + -1r = 9 + 3r + -3r

Combine like terms: 3r + -3r = 0
8 + -1r = 9 + 0
8 + -1r = 9

Add '-8' to each side of the equation.
8 + -8 + -1r = 9 + -8

Combine like terms: 8 + -8 = 0
0 + -1r = 9 + -8
-1r = 9 + -8

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

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

Simplifying
r = -1

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