3(n+1)=4n+16

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Solution for 3(n+1)=4n+16 equation:


Simplifying
3(n + 1) = 4n + 16

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

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

Solving
3 + 3n = 16 + 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.
3 + 3n + -4n = 16 + 4n + -4n

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

Combine like terms: 4n + -4n = 0
3 + -1n = 16 + 0
3 + -1n = 16

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

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

Combine like terms: 16 + -3 = 13
-1n = 13

Divide each side by '-1'.
n = -13

Simplifying
n = -13

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