3(1+6n)=8n-37

Solution for 3(1+6n)=8n-37 equation:

Simplifying
3(1 + 6n) = 8n + -37
(1 * 3 + 6n * 3) = 8n + -37
(3 + 18n) = 8n + -37

Reorder the terms:
3 + 18n = -37 + 8n

Solving
3 + 18n = -37 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
3 + 18n + -8n = -37 + 8n + -8n

Combine like terms: 18n + -8n = 10n
3 + 10n = -37 + 8n + -8n

Combine like terms: 8n + -8n = 0
3 + 10n = -37 + 0
3 + 10n = -37

Add '-3' to each side of the equation.
3 + -3 + 10n = -37 + -3

Combine like terms: 3 + -3 = 0
0 + 10n = -37 + -3
10n = -37 + -3

Combine like terms: -37 + -3 = -40
10n = -40

Divide each side by '10'.
n = -4

Simplifying
n = -4