6+2r-4=9r+37-2r

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Solution for 6+2r-4=9r+37-2r equation: 


Simplifying
6 + 2r + -4 = 9r + 37 + -2r

Reorder the terms:
6 + -4 + 2r = 9r + 37 + -2r

Combine like terms: 6 + -4 = 2
2 + 2r = 9r + 37 + -2r

Reorder the terms:
2 + 2r = 37 + 9r + -2r

Combine like terms: 9r + -2r = 7r
2 + 2r = 37 + 7r

Solving
2 + 2r = 37 + 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.
2 + 2r + -7r = 37 + 7r + -7r

Combine like terms: 2r + -7r = -5r
2 + -5r = 37 + 7r + -7r

Combine like terms: 7r + -7r = 0
2 + -5r = 37 + 0
2 + -5r = 37

Add '-2' to each side of the equation.
2 + -2 + -5r = 37 + -2

Combine like terms: 2 + -2 = 0
0 + -5r = 37 + -2
-5r = 37 + -2

Combine like terms: 37 + -2 = 35
-5r = 35

Divide each side by '-5'.
r = -7

Simplifying
r = -7

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