4(n-2)=3(n+4)

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Solution for 4(n-2)=3(n+4) equation:


Simplifying
4(n + -2) = 3(n + 4)

Reorder the terms:
4(-2 + n) = 3(n + 4)
(-2 * 4 + n * 4) = 3(n + 4)
(-8 + 4n) = 3(n + 4)

Reorder the terms:
-8 + 4n = 3(4 + n)
-8 + 4n = (4 * 3 + n * 3)
-8 + 4n = (12 + 3n)

Solving
-8 + 4n = 12 + 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.
-8 + 4n + -3n = 12 + 3n + -3n

Combine like terms: 4n + -3n = 1n
-8 + 1n = 12 + 3n + -3n

Combine like terms: 3n + -3n = 0
-8 + 1n = 12 + 0
-8 + 1n = 12

Add '8' to each side of the equation.
-8 + 8 + 1n = 12 + 8

Combine like terms: -8 + 8 = 0
0 + 1n = 12 + 8
1n = 12 + 8

Combine like terms: 12 + 8 = 20
1n = 20

Divide each side by '1'.
n = 20

Simplifying
n = 20

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