5n-2=3n+40

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Solution for 5n-2=3n+40 equation:


Simplifying
5n + -2 = 3n + 40

Reorder the terms:
-2 + 5n = 3n + 40

Reorder the terms:
-2 + 5n = 40 + 3n

Solving
-2 + 5n = 40 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
-2 + 5n + -3n = 40 + 3n + -3n

Combine like terms: 5n + -3n = 2n
-2 + 2n = 40 + 3n + -3n

Combine like terms: 3n + -3n = 0
-2 + 2n = 40 + 0
-2 + 2n = 40

Add '2' to each side of the equation.
-2 + 2 + 2n = 40 + 2

Combine like terms: -2 + 2 = 0
0 + 2n = 40 + 2
2n = 40 + 2

Combine like terms: 40 + 2 = 42
2n = 42

Divide each side by '2'.
n = 21

Simplifying
n = 21

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