4r-3=5r-5-6+16

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Solution for 4r-3=5r-5-6+16 equation: 


Simplifying
4r + -3 = 5r + -5 + -6 + 16

Reorder the terms:
-3 + 4r = 5r + -5 + -6 + 16

Reorder the terms:
-3 + 4r = -5 + -6 + 16 + 5r

Combine like terms: -5 + -6 = -11
-3 + 4r = -11 + 16 + 5r

Combine like terms: -11 + 16 = 5
-3 + 4r = 5 + 5r

Solving
-3 + 4r = 5 + 5r

Solving for variable 'r'.

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

Add '-5r' to each side of the equation.
-3 + 4r + -5r = 5 + 5r + -5r

Combine like terms: 4r + -5r = -1r
-3 + -1r = 5 + 5r + -5r

Combine like terms: 5r + -5r = 0
-3 + -1r = 5 + 0
-3 + -1r = 5

Add '3' to each side of the equation.
-3 + 3 + -1r = 5 + 3

Combine like terms: -3 + 3 = 0
0 + -1r = 5 + 3
-1r = 5 + 3

Combine like terms: 5 + 3 = 8
-1r = 8

Divide each side by '-1'.
r = -8

Simplifying
r = -8

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