10+2n+4n=24-n

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Solution for 10+2n+4n=24-n equation:


Simplifying
10 + 2n + 4n = 24 + -1n

Combine like terms: 2n + 4n = 6n
10 + 6n = 24 + -1n

Solving
10 + 6n = 24 + -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
10 + 6n + n = 24 + -1n + n

Combine like terms: 6n + n = 7n
10 + 7n = 24 + -1n + n

Combine like terms: -1n + n = 0
10 + 7n = 24 + 0
10 + 7n = 24

Add '-10' to each side of the equation.
10 + -10 + 7n = 24 + -10

Combine like terms: 10 + -10 = 0
0 + 7n = 24 + -10
7n = 24 + -10

Combine like terms: 24 + -10 = 14
7n = 14

Divide each side by '7'.
n = 2

Simplifying
n = 2

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