10r+120=40r-480

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Solution for 10r+120=40r-480 equation:


Simplifying
10r + 120 = 40r + -480

Reorder the terms:
120 + 10r = 40r + -480

Reorder the terms:
120 + 10r = -480 + 40r

Solving
120 + 10r = -480 + 40r

Solving for variable 'r'.

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

Add '-40r' to each side of the equation.
120 + 10r + -40r = -480 + 40r + -40r

Combine like terms: 10r + -40r = -30r
120 + -30r = -480 + 40r + -40r

Combine like terms: 40r + -40r = 0
120 + -30r = -480 + 0
120 + -30r = -480

Add '-120' to each side of the equation.
120 + -120 + -30r = -480 + -120

Combine like terms: 120 + -120 = 0
0 + -30r = -480 + -120
-30r = -480 + -120

Combine like terms: -480 + -120 = -600
-30r = -600

Divide each side by '-30'.
r = 20

Simplifying
r = 20

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