3n-10=4n+20

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Solution for 3n-10=4n+20 equation:


Simplifying
3n + -10 = 4n + 20

Reorder the terms:
-10 + 3n = 4n + 20

Reorder the terms:
-10 + 3n = 20 + 4n

Solving
-10 + 3n = 20 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
-10 + 3n + -4n = 20 + 4n + -4n

Combine like terms: 3n + -4n = -1n
-10 + -1n = 20 + 4n + -4n

Combine like terms: 4n + -4n = 0
-10 + -1n = 20 + 0
-10 + -1n = 20

Add '10' to each side of the equation.
-10 + 10 + -1n = 20 + 10

Combine like terms: -10 + 10 = 0
0 + -1n = 20 + 10
-1n = 20 + 10

Combine like terms: 20 + 10 = 30
-1n = 30

Divide each side by '-1'.
n = -30

Simplifying
n = -30

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