3+19r-2=9r+137-7r

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Solution for 3+19r-2=9r+137-7r equation: 


Simplifying
3 + 19r + -2 = 9r + 137 + -7r

Reorder the terms:
3 + -2 + 19r = 9r + 137 + -7r

Combine like terms: 3 + -2 = 1
1 + 19r = 9r + 137 + -7r

Reorder the terms:
1 + 19r = 137 + 9r + -7r

Combine like terms: 9r + -7r = 2r
1 + 19r = 137 + 2r

Solving
1 + 19r = 137 + 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.
1 + 19r + -2r = 137 + 2r + -2r

Combine like terms: 19r + -2r = 17r
1 + 17r = 137 + 2r + -2r

Combine like terms: 2r + -2r = 0
1 + 17r = 137 + 0
1 + 17r = 137

Add '-1' to each side of the equation.
1 + -1 + 17r = 137 + -1

Combine like terms: 1 + -1 = 0
0 + 17r = 137 + -1
17r = 137 + -1

Combine like terms: 137 + -1 = 136
17r = 136

Divide each side by '17'.
r = 8

Simplifying
r = 8

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