2r+20=11r+52

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Solution for 2r+20=11r+52 equation:


Simplifying
2r + 20 = 11r + 52

Reorder the terms:
20 + 2r = 11r + 52

Reorder the terms:
20 + 2r = 52 + 11r

Solving
20 + 2r = 52 + 11r

Solving for variable 'r'.

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

Add '-11r' to each side of the equation.
20 + 2r + -11r = 52 + 11r + -11r

Combine like terms: 2r + -11r = -9r
20 + -9r = 52 + 11r + -11r

Combine like terms: 11r + -11r = 0
20 + -9r = 52 + 0
20 + -9r = 52

Add '-20' to each side of the equation.
20 + -20 + -9r = 52 + -20

Combine like terms: 20 + -20 = 0
0 + -9r = 52 + -20
-9r = 52 + -20

Combine like terms: 52 + -20 = 32
-9r = 32

Divide each side by '-9'.
r = -3.555555556

Simplifying
r = -3.555555556

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