154=2n+6(3n-1)

Solution for 154=2n+6(3n-1) equation:

Simplifying
154 = 2n + 6(3n + -1)

Reorder the terms:
154 = 2n + 6(-1 + 3n)
154 = 2n + (-1 * 6 + 3n * 6)
154 = 2n + (-6 + 18n)

Reorder the terms:
154 = -6 + 2n + 18n

Combine like terms: 2n + 18n = 20n
154 = -6 + 20n

Solving
154 = -6 + 20n

Solving for variable 'n'.

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

Add '-20n' to each side of the equation.
154 + -20n = -6 + 20n + -20n

Combine like terms: 20n + -20n = 0
154 + -20n = -6 + 0
154 + -20n = -6

Add '-154' to each side of the equation.
154 + -154 + -20n = -6 + -154

Combine like terms: 154 + -154 = 0
0 + -20n = -6 + -154
-20n = -6 + -154

Combine like terms: -6 + -154 = -160
-20n = -160

Divide each side by '-20'.
n = 8

Simplifying
n = 8