4(n+3)=2n+8

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Solution for 4(n+3)=2n+8 equation: 


Simplifying
4(n + 3) = 2n + 8

Reorder the terms:
4(3 + n) = 2n + 8
(3 * 4 + n * 4) = 2n + 8
(12 + 4n) = 2n + 8

Reorder the terms:
12 + 4n = 8 + 2n

Solving
12 + 4n = 8 + 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.
12 + 4n + -2n = 8 + 2n + -2n

Combine like terms: 4n + -2n = 2n
12 + 2n = 8 + 2n + -2n

Combine like terms: 2n + -2n = 0
12 + 2n = 8 + 0
12 + 2n = 8

Add '-12' to each side of the equation.
12 + -12 + 2n = 8 + -12

Combine like terms: 12 + -12 = 0
0 + 2n = 8 + -12
2n = 8 + -12

Combine like terms: 8 + -12 = -4
2n = -4

Divide each side by '2'.
n = -2

Simplifying
n = -2

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