4(-6+n)=2(n+10)

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Solution for 4(-6+n)=2(n+10) equation: 


Simplifying
4(-6 + n) = 2(n + 10)
(-6 * 4 + n * 4) = 2(n + 10)
(-24 + 4n) = 2(n + 10)

Reorder the terms:
-24 + 4n = 2(10 + n)
-24 + 4n = (10 * 2 + n * 2)
-24 + 4n = (20 + 2n)

Solving
-24 + 4n = 20 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
-24 + 4n + -2n = 20 + 2n + -2n

Combine like terms: 4n + -2n = 2n
-24 + 2n = 20 + 2n + -2n

Combine like terms: 2n + -2n = 0
-24 + 2n = 20 + 0
-24 + 2n = 20

Add '24' to each side of the equation.
-24 + 24 + 2n = 20 + 24

Combine like terms: -24 + 24 = 0
0 + 2n = 20 + 24
2n = 20 + 24

Combine like terms: 20 + 24 = 44
2n = 44

Divide each side by '2'.
n = 22

Simplifying
n = 22

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