6+3r-2=9r+22-3r

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Solution for 6+3r-2=9r+22-3r equation: 


Simplifying
6 + 3r + -2 = 9r + 22 + -3r

Reorder the terms:
6 + -2 + 3r = 9r + 22 + -3r

Combine like terms: 6 + -2 = 4
4 + 3r = 9r + 22 + -3r

Reorder the terms:
4 + 3r = 22 + 9r + -3r

Combine like terms: 9r + -3r = 6r
4 + 3r = 22 + 6r

Solving
4 + 3r = 22 + 6r

Solving for variable 'r'.

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

Add '-6r' to each side of the equation.
4 + 3r + -6r = 22 + 6r + -6r

Combine like terms: 3r + -6r = -3r
4 + -3r = 22 + 6r + -6r

Combine like terms: 6r + -6r = 0
4 + -3r = 22 + 0
4 + -3r = 22

Add '-4' to each side of the equation.
4 + -4 + -3r = 22 + -4

Combine like terms: 4 + -4 = 0
0 + -3r = 22 + -4
-3r = 22 + -4

Combine like terms: 22 + -4 = 18
-3r = 18

Divide each side by '-3'.
r = -6

Simplifying
r = -6

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