4+3r-2=9r+10-5r

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Solution for 4+3r-2=9r+10-5r equation: 


Simplifying
4 + 3r + -2 = 9r + 10 + -5r

Reorder the terms:
4 + -2 + 3r = 9r + 10 + -5r

Combine like terms: 4 + -2 = 2
2 + 3r = 9r + 10 + -5r

Reorder the terms:
2 + 3r = 10 + 9r + -5r

Combine like terms: 9r + -5r = 4r
2 + 3r = 10 + 4r

Solving
2 + 3r = 10 + 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 + 3r + -4r = 10 + 4r + -4r

Combine like terms: 3r + -4r = -1r
2 + -1r = 10 + 4r + -4r

Combine like terms: 4r + -4r = 0
2 + -1r = 10 + 0
2 + -1r = 10

Add '-2' to each side of the equation.
2 + -2 + -1r = 10 + -2

Combine like terms: 2 + -2 = 0
0 + -1r = 10 + -2
-1r = 10 + -2

Combine like terms: 10 + -2 = 8
-1r = 8

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

Simplifying
r = -8

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