(n+16)+(4n+16)=256

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Solution for (n+16)+(4n+16)=256 equation:


Simplifying
(n + 16) + (4n + 16) = 256

Reorder the terms:
(16 + n) + (4n + 16) = 256

Remove parenthesis around (16 + n)
16 + n + (4n + 16) = 256

Reorder the terms:
16 + n + (16 + 4n) = 256

Remove parenthesis around (16 + 4n)
16 + n + 16 + 4n = 256

Reorder the terms:
16 + 16 + n + 4n = 256

Combine like terms: 16 + 16 = 32
32 + n + 4n = 256

Combine like terms: n + 4n = 5n
32 + 5n = 256

Solving
32 + 5n = 256

Solving for variable 'n'.

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

Add '-32' to each side of the equation.
32 + -32 + 5n = 256 + -32

Combine like terms: 32 + -32 = 0
0 + 5n = 256 + -32
5n = 256 + -32

Combine like terms: 256 + -32 = 224
5n = 224

Divide each side by '5'.
n = 44.8

Simplifying
n = 44.8

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