20r-20-7r=5(2r+20)+11r

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Solution for 20r-20-7r=5(2r+20)+11r equation:


Simplifying
20r + -20 + -7r = 5(2r + 20) + 11r

Reorder the terms:
-20 + 20r + -7r = 5(2r + 20) + 11r

Combine like terms: 20r + -7r = 13r
-20 + 13r = 5(2r + 20) + 11r

Reorder the terms:
-20 + 13r = 5(20 + 2r) + 11r
-20 + 13r = (20 * 5 + 2r * 5) + 11r
-20 + 13r = (100 + 10r) + 11r

Combine like terms: 10r + 11r = 21r
-20 + 13r = 100 + 21r

Solving
-20 + 13r = 100 + 21r

Solving for variable 'r'.

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

Add '-21r' to each side of the equation.
-20 + 13r + -21r = 100 + 21r + -21r

Combine like terms: 13r + -21r = -8r
-20 + -8r = 100 + 21r + -21r

Combine like terms: 21r + -21r = 0
-20 + -8r = 100 + 0
-20 + -8r = 100

Add '20' to each side of the equation.
-20 + 20 + -8r = 100 + 20

Combine like terms: -20 + 20 = 0
0 + -8r = 100 + 20
-8r = 100 + 20

Combine like terms: 100 + 20 = 120
-8r = 120

Divide each side by '-8'.
r = -15

Simplifying
r = -15

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