4+11r-2=9r+38-7r

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Solution for 4+11r-2=9r+38-7r equation: 


Simplifying
4 + 11r + -2 = 9r + 38 + -7r

Reorder the terms:
4 + -2 + 11r = 9r + 38 + -7r

Combine like terms: 4 + -2 = 2
2 + 11r = 9r + 38 + -7r

Reorder the terms:
2 + 11r = 38 + 9r + -7r

Combine like terms: 9r + -7r = 2r
2 + 11r = 38 + 2r

Solving
2 + 11r = 38 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
2 + 11r + -2r = 38 + 2r + -2r

Combine like terms: 11r + -2r = 9r
2 + 9r = 38 + 2r + -2r

Combine like terms: 2r + -2r = 0
2 + 9r = 38 + 0
2 + 9r = 38

Add '-2' to each side of the equation.
2 + -2 + 9r = 38 + -2

Combine like terms: 2 + -2 = 0
0 + 9r = 38 + -2
9r = 38 + -2

Combine like terms: 38 + -2 = 36
9r = 36

Divide each side by '9'.
r = 4

Simplifying
r = 4

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