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

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


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

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

Reorder the terms:
-8 + 4n = 2(3 + n)
-8 + 4n = (3 * 2 + n * 2)
-8 + 4n = (6 + 2n)

Solving
-8 + 4n = 6 + 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.
-8 + 4n + -2n = 6 + 2n + -2n

Combine like terms: 4n + -2n = 2n
-8 + 2n = 6 + 2n + -2n

Combine like terms: 2n + -2n = 0
-8 + 2n = 6 + 0
-8 + 2n = 6

Add '8' to each side of the equation.
-8 + 8 + 2n = 6 + 8

Combine like terms: -8 + 8 = 0
0 + 2n = 6 + 8
2n = 6 + 8

Combine like terms: 6 + 8 = 14
2n = 14

Divide each side by '2'.
n = 7

Simplifying
n = 7

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