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

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


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

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

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

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

Solving
-5 + 6r = 7 + 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.
-5 + 6r + -5r = 7 + 5r + -5r

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

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

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

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

Combine like terms: 7 + 5 = 12
1r = 12

Divide each side by '1'.
r = 12

Simplifying
r = 12

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