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

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


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

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

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

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

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

Solving
7 + -1r = -1 + 5r

Solving for variable 'r'.

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

Add '-5r' to each side of the equation.
7 + -1r + -5r = -1 + 5r + -5r

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

Combine like terms: 5r + -5r = 0
7 + -6r = -1 + 0
7 + -6r = -1

Add '-7' to each side of the equation.
7 + -7 + -6r = -1 + -7

Combine like terms: 7 + -7 = 0
0 + -6r = -1 + -7
-6r = -1 + -7

Combine like terms: -1 + -7 = -8
-6r = -8

Divide each side by '-6'.
r = 1.333333333

Simplifying
r = 1.333333333

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