6(1-4n)=7n+37

Solution for 6(1-4n)=7n+37 equation:

Simplifying
6(1 + -4n) = 7n + 37
(1 * 6 + -4n * 6) = 7n + 37
(6 + -24n) = 7n + 37

Reorder the terms:
6 + -24n = 37 + 7n

Solving
6 + -24n = 37 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
6 + -24n + -7n = 37 + 7n + -7n

Combine like terms: -24n + -7n = -31n
6 + -31n = 37 + 7n + -7n

Combine like terms: 7n + -7n = 0
6 + -31n = 37 + 0
6 + -31n = 37

Add '-6' to each side of the equation.
6 + -6 + -31n = 37 + -6

Combine like terms: 6 + -6 = 0
0 + -31n = 37 + -6
-31n = 37 + -6

Combine like terms: 37 + -6 = 31
-31n = 31

Divide each side by '-31'.
n = -1

Simplifying
n = -1