4r-5=13r+16

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Solution for 4r-5=13r+16 equation:


Simplifying
4r + -5 = 13r + 16

Reorder the terms:
-5 + 4r = 13r + 16

Reorder the terms:
-5 + 4r = 16 + 13r

Solving
-5 + 4r = 16 + 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.
-5 + 4r + -13r = 16 + 13r + -13r

Combine like terms: 4r + -13r = -9r
-5 + -9r = 16 + 13r + -13r

Combine like terms: 13r + -13r = 0
-5 + -9r = 16 + 0
-5 + -9r = 16

Add '5' to each side of the equation.
-5 + 5 + -9r = 16 + 5

Combine like terms: -5 + 5 = 0
0 + -9r = 16 + 5
-9r = 16 + 5

Combine like terms: 16 + 5 = 21
-9r = 21

Divide each side by '-9'.
r = -2.333333333

Simplifying
r = -2.333333333

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