6+5r-2=9r+8-2r

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Solution for 6+5r-2=9r+8-2r equation: 


Simplifying
6 + 5r + -2 = 9r + 8 + -2r

Reorder the terms:
6 + -2 + 5r = 9r + 8 + -2r

Combine like terms: 6 + -2 = 4
4 + 5r = 9r + 8 + -2r

Reorder the terms:
4 + 5r = 8 + 9r + -2r

Combine like terms: 9r + -2r = 7r
4 + 5r = 8 + 7r

Solving
4 + 5r = 8 + 7r

Solving for variable 'r'.

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

Add '-7r' to each side of the equation.
4 + 5r + -7r = 8 + 7r + -7r

Combine like terms: 5r + -7r = -2r
4 + -2r = 8 + 7r + -7r

Combine like terms: 7r + -7r = 0
4 + -2r = 8 + 0
4 + -2r = 8

Add '-4' to each side of the equation.
4 + -4 + -2r = 8 + -4

Combine like terms: 4 + -4 = 0
0 + -2r = 8 + -4
-2r = 8 + -4

Combine like terms: 8 + -4 = 4
-2r = 4

Divide each side by '-2'.
r = -2

Simplifying
r = -2

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