4+6r-2=9r+18-5r

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Solution for 4+6r-2=9r+18-5r equation: 


Simplifying
4 + 6r + -2 = 9r + 18 + -5r

Reorder the terms:
4 + -2 + 6r = 9r + 18 + -5r

Combine like terms: 4 + -2 = 2
2 + 6r = 9r + 18 + -5r

Reorder the terms:
2 + 6r = 18 + 9r + -5r

Combine like terms: 9r + -5r = 4r
2 + 6r = 18 + 4r

Solving
2 + 6r = 18 + 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.
2 + 6r + -4r = 18 + 4r + -4r

Combine like terms: 6r + -4r = 2r
2 + 2r = 18 + 4r + -4r

Combine like terms: 4r + -4r = 0
2 + 2r = 18 + 0
2 + 2r = 18

Add '-2' to each side of the equation.
2 + -2 + 2r = 18 + -2

Combine like terms: 2 + -2 = 0
0 + 2r = 18 + -2
2r = 18 + -2

Combine like terms: 18 + -2 = 16
2r = 16

Divide each side by '2'.
r = 8

Simplifying
r = 8

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