71=5+6(n-1)

Solution for 71=5+6(n-1) equation:

Simplifying
71 = 5 + 6(n + -1)

Reorder the terms:
71 = 5 + 6(-1 + n)
71 = 5 + (-1 * 6 + n * 6)
71 = 5 + (-6 + 6n)

Combine like terms: 5 + -6 = -1
71 = -1 + 6n

Solving
71 = -1 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
71 + -6n = -1 + 6n + -6n

Combine like terms: 6n + -6n = 0
71 + -6n = -1 + 0
71 + -6n = -1

Add '-71' to each side of the equation.
71 + -71 + -6n = -1 + -71

Combine like terms: 71 + -71 = 0
0 + -6n = -1 + -71
-6n = -1 + -71

Combine like terms: -1 + -71 = -72
-6n = -72

Divide each side by '-6'.
n = 12

Simplifying
n = 12