7r-6=8r+2

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Solution for 7r-6=8r+2 equation:


Simplifying
7r + -6 = 8r + 2

Reorder the terms:
-6 + 7r = 8r + 2

Reorder the terms:
-6 + 7r = 2 + 8r

Solving
-6 + 7r = 2 + 8r

Solving for variable 'r'.

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

Add '-8r' to each side of the equation.
-6 + 7r + -8r = 2 + 8r + -8r

Combine like terms: 7r + -8r = -1r
-6 + -1r = 2 + 8r + -8r

Combine like terms: 8r + -8r = 0
-6 + -1r = 2 + 0
-6 + -1r = 2

Add '6' to each side of the equation.
-6 + 6 + -1r = 2 + 6

Combine like terms: -6 + 6 = 0
0 + -1r = 2 + 6
-1r = 2 + 6

Combine like terms: 2 + 6 = 8
-1r = 8

Divide each side by '-1'.
r = -8

Simplifying
r = -8

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