10r+60=30r-10

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Solution for 10r+60=30r-10 equation:


Simplifying
10r + 60 = 30r + -10

Reorder the terms:
60 + 10r = 30r + -10

Reorder the terms:
60 + 10r = -10 + 30r

Solving
60 + 10r = -10 + 30r

Solving for variable 'r'.

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

Add '-30r' to each side of the equation.
60 + 10r + -30r = -10 + 30r + -30r

Combine like terms: 10r + -30r = -20r
60 + -20r = -10 + 30r + -30r

Combine like terms: 30r + -30r = 0
60 + -20r = -10 + 0
60 + -20r = -10

Add '-60' to each side of the equation.
60 + -60 + -20r = -10 + -60

Combine like terms: 60 + -60 = 0
0 + -20r = -10 + -60
-20r = -10 + -60

Combine like terms: -10 + -60 = -70
-20r = -70

Divide each side by '-20'.
r = 3.5

Simplifying
r = 3.5

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