3r-6+2=4r+2-31

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Solution for 3r-6+2=4r+2-31 equation: 


Simplifying
3r + -6 + 2 = 4r + 2 + -31

Reorder the terms:
-6 + 2 + 3r = 4r + 2 + -31

Combine like terms: -6 + 2 = -4
-4 + 3r = 4r + 2 + -31

Reorder the terms:
-4 + 3r = 2 + -31 + 4r

Combine like terms: 2 + -31 = -29
-4 + 3r = -29 + 4r

Solving
-4 + 3r = -29 + 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.
-4 + 3r + -4r = -29 + 4r + -4r

Combine like terms: 3r + -4r = -1r
-4 + -1r = -29 + 4r + -4r

Combine like terms: 4r + -4r = 0
-4 + -1r = -29 + 0
-4 + -1r = -29

Add '4' to each side of the equation.
-4 + 4 + -1r = -29 + 4

Combine like terms: -4 + 4 = 0
0 + -1r = -29 + 4
-1r = -29 + 4

Combine like terms: -29 + 4 = -25
-1r = -25

Divide each side by '-1'.
r = 25

Simplifying
r = 25

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