4(n+4)=3n+1

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Solution for 4(n+4)=3n+1 equation: 


Simplifying
4(n + 4) = 3n + 1

Reorder the terms:
4(4 + n) = 3n + 1
(4 * 4 + n * 4) = 3n + 1
(16 + 4n) = 3n + 1

Reorder the terms:
16 + 4n = 1 + 3n

Solving
16 + 4n = 1 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
16 + 4n + -3n = 1 + 3n + -3n

Combine like terms: 4n + -3n = 1n
16 + 1n = 1 + 3n + -3n

Combine like terms: 3n + -3n = 0
16 + 1n = 1 + 0
16 + 1n = 1

Add '-16' to each side of the equation.
16 + -16 + 1n = 1 + -16

Combine like terms: 16 + -16 = 0
0 + 1n = 1 + -16
1n = 1 + -16

Combine like terms: 1 + -16 = -15
1n = -15

Divide each side by '1'.
n = -15

Simplifying
n = -15

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