2n+24=6n-40

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Solution for 2n+24=6n-40 equation:


Simplifying
2n + 24 = 6n + -40

Reorder the terms:
24 + 2n = 6n + -40

Reorder the terms:
24 + 2n = -40 + 6n

Solving
24 + 2n = -40 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
24 + 2n + -6n = -40 + 6n + -6n

Combine like terms: 2n + -6n = -4n
24 + -4n = -40 + 6n + -6n

Combine like terms: 6n + -6n = 0
24 + -4n = -40 + 0
24 + -4n = -40

Add '-24' to each side of the equation.
24 + -24 + -4n = -40 + -24

Combine like terms: 24 + -24 = 0
0 + -4n = -40 + -24
-4n = -40 + -24

Combine like terms: -40 + -24 = -64
-4n = -64

Divide each side by '-4'.
n = 16

Simplifying
n = 16

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