5+7r-2=6r+27-2r

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Solution for 5+7r-2=6r+27-2r equation:


Simplifying
5 + 7r + -2 = 6r + 27 + -2r

Reorder the terms:
5 + -2 + 7r = 6r + 27 + -2r

Combine like terms: 5 + -2 = 3
3 + 7r = 6r + 27 + -2r

Reorder the terms:
3 + 7r = 27 + 6r + -2r

Combine like terms: 6r + -2r = 4r
3 + 7r = 27 + 4r

Solving
3 + 7r = 27 + 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.
3 + 7r + -4r = 27 + 4r + -4r

Combine like terms: 7r + -4r = 3r
3 + 3r = 27 + 4r + -4r

Combine like terms: 4r + -4r = 0
3 + 3r = 27 + 0
3 + 3r = 27

Add '-3' to each side of the equation.
3 + -3 + 3r = 27 + -3

Combine like terms: 3 + -3 = 0
0 + 3r = 27 + -3
3r = 27 + -3

Combine like terms: 27 + -3 = 24
3r = 24

Divide each side by '3'.
r = 8

Simplifying
r = 8

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