2r-6+1=3-r+7

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Solution for 2r-6+1=3-r+7 equation: 


Simplifying
2r + -6 + 1 = 3 + -1r + 7

Reorder the terms:
-6 + 1 + 2r = 3 + -1r + 7

Combine like terms: -6 + 1 = -5
-5 + 2r = 3 + -1r + 7

Reorder the terms:
-5 + 2r = 3 + 7 + -1r

Combine like terms: 3 + 7 = 10
-5 + 2r = 10 + -1r

Solving
-5 + 2r = 10 + -1r

Solving for variable 'r'.

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

Add 'r' to each side of the equation.
-5 + 2r + r = 10 + -1r + r

Combine like terms: 2r + r = 3r
-5 + 3r = 10 + -1r + r

Combine like terms: -1r + r = 0
-5 + 3r = 10 + 0
-5 + 3r = 10

Add '5' to each side of the equation.
-5 + 5 + 3r = 10 + 5

Combine like terms: -5 + 5 = 0
0 + 3r = 10 + 5
3r = 10 + 5

Combine like terms: 10 + 5 = 15
3r = 15

Divide each side by '3'.
r = 5

Simplifying
r = 5

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