4r-9=13r+18

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Solution for 4r-9=13r+18 equation:


Simplifying
4r + -9 = 13r + 18

Reorder the terms:
-9 + 4r = 13r + 18

Reorder the terms:
-9 + 4r = 18 + 13r

Solving
-9 + 4r = 18 + 13r

Solving for variable 'r'.

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

Add '-13r' to each side of the equation.
-9 + 4r + -13r = 18 + 13r + -13r

Combine like terms: 4r + -13r = -9r
-9 + -9r = 18 + 13r + -13r

Combine like terms: 13r + -13r = 0
-9 + -9r = 18 + 0
-9 + -9r = 18

Add '9' to each side of the equation.
-9 + 9 + -9r = 18 + 9

Combine like terms: -9 + 9 = 0
0 + -9r = 18 + 9
-9r = 18 + 9

Combine like terms: 18 + 9 = 27
-9r = 27

Divide each side by '-9'.
r = -3

Simplifying
r = -3

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