116=4(4n+5)

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Solution for 116=4(4n+5) equation:


Simplifying
116 = 4(4n + 5)

Reorder the terms:
116 = 4(5 + 4n)
116 = (5 * 4 + 4n * 4)
116 = (20 + 16n)

Solving
116 = 20 + 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.
116 + -16n = 20 + 16n + -16n

Combine like terms: 16n + -16n = 0
116 + -16n = 20 + 0
116 + -16n = 20

Add '-116' to each side of the equation.
116 + -116 + -16n = 20 + -116

Combine like terms: 116 + -116 = 0
0 + -16n = 20 + -116
-16n = 20 + -116

Combine like terms: 20 + -116 = -96
-16n = -96

Divide each side by '-16'.
n = 6

Simplifying
n = 6

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