7n-37=5(1-7n)

Solution for 7n-37=5(1-7n) equation:

Simplifying
7n + -37 = 5(1 + -7n)

Reorder the terms:
-37 + 7n = 5(1 + -7n)
-37 + 7n = (1 * 5 + -7n * 5)
-37 + 7n = (5 + -35n)

Solving
-37 + 7n = 5 + -35n

Solving for variable 'n'.

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

Add '35n' to each side of the equation.
-37 + 7n + 35n = 5 + -35n + 35n

Combine like terms: 7n + 35n = 42n
-37 + 42n = 5 + -35n + 35n

Combine like terms: -35n + 35n = 0
-37 + 42n = 5 + 0
-37 + 42n = 5

Add '37' to each side of the equation.
-37 + 37 + 42n = 5 + 37

Combine like terms: -37 + 37 = 0
0 + 42n = 5 + 37
42n = 5 + 37

Combine like terms: 5 + 37 = 42
42n = 42

Divide each side by '42'.
n = 1

Simplifying
n = 1