6+5=8r+7-7r

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Solution for 6+5=8r+7-7r equation: 


Simplifying
6 + 5 = 8r + 7 + -7r

Combine like terms: 6 + 5 = 11
11 = 8r + 7 + -7r

Reorder the terms:
11 = 7 + 8r + -7r

Combine like terms: 8r + -7r = 1r
11 = 7 + 1r

Solving
11 = 7 + 1r

Solving for variable 'r'.

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

Add '-1r' to each side of the equation.
11 + -1r = 7 + 1r + -1r

Combine like terms: 1r + -1r = 0
11 + -1r = 7 + 0
11 + -1r = 7

Add '-11' to each side of the equation.
11 + -11 + -1r = 7 + -11

Combine like terms: 11 + -11 = 0
0 + -1r = 7 + -11
-1r = 7 + -11

Combine like terms: 7 + -11 = -4
-1r = -4

Divide each side by '-1'.
r = 4

Simplifying
r = 4

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