8(4n+13)=16n

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Solution for 8(4n+13)=16n equation:


Simplifying
8(4n + 13) = 16n

Reorder the terms:
8(13 + 4n) = 16n
(13 * 8 + 4n * 8) = 16n
(104 + 32n) = 16n

Solving
104 + 32n = 16n

Solving for variable 'n'.

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

Add '-16n' to each side of the equation.
104 + 32n + -16n = 16n + -16n

Combine like terms: 32n + -16n = 16n
104 + 16n = 16n + -16n

Combine like terms: 16n + -16n = 0
104 + 16n = 0

Add '-104' to each side of the equation.
104 + -104 + 16n = 0 + -104

Combine like terms: 104 + -104 = 0
0 + 16n = 0 + -104
16n = 0 + -104

Combine like terms: 0 + -104 = -104
16n = -104

Divide each side by '16'.
n = -6.5

Simplifying
n = -6.5

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