-34+8n=3+3(1+6n)

Solution for -34+8n=3+3(1+6n) equation:

Simplifying
-34 + 8n = 3 + 3(1 + 6n)
-34 + 8n = 3 + (1 * 3 + 6n * 3)
-34 + 8n = 3 + (3 + 18n)

Combine like terms: 3 + 3 = 6
-34 + 8n = 6 + 18n

Solving
-34 + 8n = 6 + 18n

Solving for variable 'n'.

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

Add '-18n' to each side of the equation.
-34 + 8n + -18n = 6 + 18n + -18n

Combine like terms: 8n + -18n = -10n
-34 + -10n = 6 + 18n + -18n

Combine like terms: 18n + -18n = 0
-34 + -10n = 6 + 0
-34 + -10n = 6

Add '34' to each side of the equation.
-34 + 34 + -10n = 6 + 34

Combine like terms: -34 + 34 = 0
0 + -10n = 6 + 34
-10n = 6 + 34

Combine like terms: 6 + 34 = 40
-10n = 40

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

Simplifying
n = -4