4(n+3)=6n+8+2n

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Solution for 4(n+3)=6n+8+2n equation:


Simplifying
4(n + 3) = 6n + 8 + 2n

Reorder the terms:
4(3 + n) = 6n + 8 + 2n
(3 * 4 + n * 4) = 6n + 8 + 2n
(12 + 4n) = 6n + 8 + 2n

Reorder the terms:
12 + 4n = 8 + 6n + 2n

Combine like terms: 6n + 2n = 8n
12 + 4n = 8 + 8n

Solving
12 + 4n = 8 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
12 + 4n + -8n = 8 + 8n + -8n

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

Combine like terms: 8n + -8n = 0
12 + -4n = 8 + 0
12 + -4n = 8

Add '-12' to each side of the equation.
12 + -12 + -4n = 8 + -12

Combine like terms: 12 + -12 = 0
0 + -4n = 8 + -12
-4n = 8 + -12

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

Divide each side by '-4'.
n = 1

Simplifying
n = 1

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