3(1+7n)=4n+37

Solution for 3(1+7n)=4n+37 equation:

Simplifying
3(1 + 7n) = 4n + 37
(1 * 3 + 7n * 3) = 4n + 37
(3 + 21n) = 4n + 37

Reorder the terms:
3 + 21n = 37 + 4n

Solving
3 + 21n = 37 + 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 + 21n + -4n = 37 + 4n + -4n

Combine like terms: 21n + -4n = 17n
3 + 17n = 37 + 4n + -4n

Combine like terms: 4n + -4n = 0
3 + 17n = 37 + 0
3 + 17n = 37

Add '-3' to each side of the equation.
3 + -3 + 17n = 37 + -3

Combine like terms: 3 + -3 = 0
0 + 17n = 37 + -3
17n = 37 + -3

Combine like terms: 37 + -3 = 34
17n = 34

Divide each side by '17'.
n = 2

Simplifying
n = 2