8(1+n)=2(8+n)+4

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Solution for 8(1+n)=2(8+n)+4 equation:


Simplifying
8(1 + n) = 2(8 + n) + 4
(1 * 8 + n * 8) = 2(8 + n) + 4
(8 + 8n) = 2(8 + n) + 4
8 + 8n = (8 * 2 + n * 2) + 4
8 + 8n = (16 + 2n) + 4

Reorder the terms:
8 + 8n = 16 + 4 + 2n

Combine like terms: 16 + 4 = 20
8 + 8n = 20 + 2n

Solving
8 + 8n = 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.
8 + 8n + -2n = 20 + 2n + -2n

Combine like terms: 8n + -2n = 6n
8 + 6n = 20 + 2n + -2n

Combine like terms: 2n + -2n = 0
8 + 6n = 20 + 0
8 + 6n = 20

Add '-8' to each side of the equation.
8 + -8 + 6n = 20 + -8

Combine like terms: 8 + -8 = 0
0 + 6n = 20 + -8
6n = 20 + -8

Combine like terms: 20 + -8 = 12
6n = 12

Divide each side by '6'.
n = 2

Simplifying
n = 2

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