4n-2=5n+18

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Solution for 4n-2=5n+18 equation:


Simplifying
4n + -2 = 5n + 18

Reorder the terms:
-2 + 4n = 5n + 18

Reorder the terms:
-2 + 4n = 18 + 5n

Solving
-2 + 4n = 18 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
-2 + 4n + -5n = 18 + 5n + -5n

Combine like terms: 4n + -5n = -1n
-2 + -1n = 18 + 5n + -5n

Combine like terms: 5n + -5n = 0
-2 + -1n = 18 + 0
-2 + -1n = 18

Add '2' to each side of the equation.
-2 + 2 + -1n = 18 + 2

Combine like terms: -2 + 2 = 0
0 + -1n = 18 + 2
-1n = 18 + 2

Combine like terms: 18 + 2 = 20
-1n = 20

Divide each side by '-1'.
n = -20

Simplifying
n = -20

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