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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