6r-5=8r+9

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Solution for 6r-5=8r+9 equation:


Simplifying
6r + -5 = 8r + 9

Reorder the terms:
-5 + 6r = 8r + 9

Reorder the terms:
-5 + 6r = 9 + 8r

Solving
-5 + 6r = 9 + 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.
-5 + 6r + -8r = 9 + 8r + -8r

Combine like terms: 6r + -8r = -2r
-5 + -2r = 9 + 8r + -8r

Combine like terms: 8r + -8r = 0
-5 + -2r = 9 + 0
-5 + -2r = 9

Add '5' to each side of the equation.
-5 + 5 + -2r = 9 + 5

Combine like terms: -5 + 5 = 0
0 + -2r = 9 + 5
-2r = 9 + 5

Combine like terms: 9 + 5 = 14
-2r = 14

Divide each side by '-2'.
r = -7

Simplifying
r = -7

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