59=5+6(n-1)

Solution for 59=5+6(n-1) equation:

Simplifying
59 = 5 + 6(n + -1)

Reorder the terms:
59 = 5 + 6(-1 + n)
59 = 5 + (-1 * 6 + n * 6)
59 = 5 + (-6 + 6n)

Combine like terms: 5 + -6 = -1
59 = -1 + 6n

Solving
59 = -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.
59 + -6n = -1 + 6n + -6n

Combine like terms: 6n + -6n = 0
59 + -6n = -1 + 0
59 + -6n = -1

Add '-59' to each side of the equation.
59 + -59 + -6n = -1 + -59

Combine like terms: 59 + -59 = 0
0 + -6n = -1 + -59
-6n = -1 + -59

Combine like terms: -1 + -59 = -60
-6n = -60

Divide each side by '-6'.
n = 10

Simplifying
n = 10