40r-39=61r-81

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Solution for 40r-39=61r-81 equation:


Simplifying
40r + -39 = 61r + -81

Reorder the terms:
-39 + 40r = 61r + -81

Reorder the terms:
-39 + 40r = -81 + 61r

Solving
-39 + 40r = -81 + 61r

Solving for variable 'r'.

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

Add '-61r' to each side of the equation.
-39 + 40r + -61r = -81 + 61r + -61r

Combine like terms: 40r + -61r = -21r
-39 + -21r = -81 + 61r + -61r

Combine like terms: 61r + -61r = 0
-39 + -21r = -81 + 0
-39 + -21r = -81

Add '39' to each side of the equation.
-39 + 39 + -21r = -81 + 39

Combine like terms: -39 + 39 = 0
0 + -21r = -81 + 39
-21r = -81 + 39

Combine like terms: -81 + 39 = -42
-21r = -42

Divide each side by '-21'.
r = 2

Simplifying
r = 2

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