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

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

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

Reorder the terms:
4(7 + n) + n = 3(n + -1) + 37
(7 * 4 + n * 4) + n = 3(n + -1) + 37
(28 + 4n) + n = 3(n + -1) + 37

Combine like terms: 4n + n = 5n
28 + 5n = 3(n + -1) + 37

Reorder the terms:
28 + 5n = 3(-1 + n) + 37
28 + 5n = (-1 * 3 + n * 3) + 37
28 + 5n = (-3 + 3n) + 37

Reorder the terms:
28 + 5n = -3 + 37 + 3n

Combine like terms: -3 + 37 = 34
28 + 5n = 34 + 3n

Solving
28 + 5n = 34 + 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.
28 + 5n + -3n = 34 + 3n + -3n

Combine like terms: 5n + -3n = 2n
28 + 2n = 34 + 3n + -3n

Combine like terms: 3n + -3n = 0
28 + 2n = 34 + 0
28 + 2n = 34

Add '-28' to each side of the equation.
28 + -28 + 2n = 34 + -28

Combine like terms: 28 + -28 = 0
0 + 2n = 34 + -28
2n = 34 + -28

Combine like terms: 34 + -28 = 6
2n = 6

Divide each side by '2'.
n = 3

Simplifying
n = 3