2r+2=5r-20

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Solution for 2r+2=5r-20 equation: 


Simplifying
2r + 2 = 5r + -20

Reorder the terms:
2 + 2r = 5r + -20

Reorder the terms:
2 + 2r = -20 + 5r

Solving
2 + 2r = -20 + 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 + 2r + -5r = -20 + 5r + -5r

Combine like terms: 2r + -5r = -3r
2 + -3r = -20 + 5r + -5r

Combine like terms: 5r + -5r = 0
2 + -3r = -20 + 0
2 + -3r = -20

Add '-2' to each side of the equation.
2 + -2 + -3r = -20 + -2

Combine like terms: 2 + -2 = 0
0 + -3r = -20 + -2
-3r = -20 + -2

Combine like terms: -20 + -2 = -22
-3r = -22

Divide each side by '-3'.
r = 7.333333333

Simplifying
r = 7.333333333

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