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

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


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

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

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

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

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

Solving
7 + -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.
7 + -2r + r = 10 + -1r + r

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

Combine like terms: -1r + r = 0
7 + -1r = 10 + 0
7 + -1r = 10

Add '-7' to each side of the equation.
7 + -7 + -1r = 10 + -7

Combine like terms: 7 + -7 = 0
0 + -1r = 10 + -7
-1r = 10 + -7

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

Divide each side by '-1'.
r = -3

Simplifying
r = -3

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