2[n+4]=96+2[2n+20]

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Solution for 2[n+4]=96+2[2n+20] equation:


Simplifying
2[n + 4] = 96 + 2[2n + 20]

Reorder the terms:
2[4 + n] = 96 + 2[2n + 20]
[4 * 2 + n * 2] = 96 + 2[2n + 20]
[8 + 2n] = 96 + 2[2n + 20]

Reorder the terms:
8 + 2n = 96 + 2[20 + 2n]
8 + 2n = 96 + [20 * 2 + 2n * 2]
8 + 2n = 96 + [40 + 4n]

Combine like terms: 96 + 40 = 136
8 + 2n = 136 + 4n

Solving
8 + 2n = 136 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
8 + 2n + -4n = 136 + 4n + -4n

Combine like terms: 2n + -4n = -2n
8 + -2n = 136 + 4n + -4n

Combine like terms: 4n + -4n = 0
8 + -2n = 136 + 0
8 + -2n = 136

Add '-8' to each side of the equation.
8 + -8 + -2n = 136 + -8

Combine like terms: 8 + -8 = 0
0 + -2n = 136 + -8
-2n = 136 + -8

Combine like terms: 136 + -8 = 128
-2n = 128

Divide each side by '-2'.
n = -64

Simplifying
n = -64

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