4r+2=5r+5+2

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Solution for 4r+2=5r+5+2 equation: 


Simplifying
4r + 2 = 5r + 5 + 2

Reorder the terms:
2 + 4r = 5r + 5 + 2

Reorder the terms:
2 + 4r = 5 + 2 + 5r

Combine like terms: 5 + 2 = 7
2 + 4r = 7 + 5r

Solving
2 + 4r = 7 + 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.
2 + 4r + -5r = 7 + 5r + -5r

Combine like terms: 4r + -5r = -1r
2 + -1r = 7 + 5r + -5r

Combine like terms: 5r + -5r = 0
2 + -1r = 7 + 0
2 + -1r = 7

Add '-2' to each side of the equation.
2 + -2 + -1r = 7 + -2

Combine like terms: 2 + -2 = 0
0 + -1r = 7 + -2
-1r = 7 + -2

Combine like terms: 7 + -2 = 5
-1r = 5

Divide each side by '-1'.
r = -5

Simplifying
r = -5

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