6+17r-1=6r+83-2r

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Solution for 6+17r-1=6r+83-2r equation:


Simplifying
6 + 17r + -1 = 6r + 83 + -2r

Reorder the terms:
6 + -1 + 17r = 6r + 83 + -2r

Combine like terms: 6 + -1 = 5
5 + 17r = 6r + 83 + -2r

Reorder the terms:
5 + 17r = 83 + 6r + -2r

Combine like terms: 6r + -2r = 4r
5 + 17r = 83 + 4r

Solving
5 + 17r = 83 + 4r

Solving for variable 'r'.

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

Add '-4r' to each side of the equation.
5 + 17r + -4r = 83 + 4r + -4r

Combine like terms: 17r + -4r = 13r
5 + 13r = 83 + 4r + -4r

Combine like terms: 4r + -4r = 0
5 + 13r = 83 + 0
5 + 13r = 83

Add '-5' to each side of the equation.
5 + -5 + 13r = 83 + -5

Combine like terms: 5 + -5 = 0
0 + 13r = 83 + -5
13r = 83 + -5

Combine like terms: 83 + -5 = 78
13r = 78

Divide each side by '13'.
r = 6

Simplifying
r = 6

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