2(4n-3)+2n=74

Solution for 2(4n-3)+2n=74 equation:

Simplifying
2(4n + -3) + 2n = 74

Reorder the terms:
2(-3 + 4n) + 2n = 74
(-3 * 2 + 4n * 2) + 2n = 74
(-6 + 8n) + 2n = 74

Combine like terms: 8n + 2n = 10n
-6 + 10n = 74

Solving
-6 + 10n = 74

Solving for variable 'n'.

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

Add '6' to each side of the equation.
-6 + 6 + 10n = 74 + 6

Combine like terms: -6 + 6 = 0
0 + 10n = 74 + 6
10n = 74 + 6

Combine like terms: 74 + 6 = 80
10n = 80

Divide each side by '10'.
n = 8

Simplifying
n = 8