6+2r-1=9r+15-5r

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Solution for 6+2r-1=9r+15-5r equation: 


Simplifying
6 + 2r + -1 = 9r + 15 + -5r

Reorder the terms:
6 + -1 + 2r = 9r + 15 + -5r

Combine like terms: 6 + -1 = 5
5 + 2r = 9r + 15 + -5r

Reorder the terms:
5 + 2r = 15 + 9r + -5r

Combine like terms: 9r + -5r = 4r
5 + 2r = 15 + 4r

Solving
5 + 2r = 15 + 4r

Solving for variable 'r'.

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

Add '-4r' to each side of the equation.
5 + 2r + -4r = 15 + 4r + -4r

Combine like terms: 2r + -4r = -2r
5 + -2r = 15 + 4r + -4r

Combine like terms: 4r + -4r = 0
5 + -2r = 15 + 0
5 + -2r = 15

Add '-5' to each side of the equation.
5 + -5 + -2r = 15 + -5

Combine like terms: 5 + -5 = 0
0 + -2r = 15 + -5
-2r = 15 + -5

Combine like terms: 15 + -5 = 10
-2r = 10

Divide each side by '-2'.
r = -5

Simplifying
r = -5

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