34=7n+2(n-1)

Solution for 34=7n+2(n-1) equation:

Simplifying
34 = 7n + 2(n + -1)

Reorder the terms:
34 = 7n + 2(-1 + n)
34 = 7n + (-1 * 2 + n * 2)
34 = 7n + (-2 + 2n)

Reorder the terms:
34 = -2 + 7n + 2n

Combine like terms: 7n + 2n = 9n
34 = -2 + 9n

Solving
34 = -2 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
34 + -9n = -2 + 9n + -9n

Combine like terms: 9n + -9n = 0
34 + -9n = -2 + 0
34 + -9n = -2

Add '-34' to each side of the equation.
34 + -34 + -9n = -2 + -34

Combine like terms: 34 + -34 = 0
0 + -9n = -2 + -34
-9n = -2 + -34

Combine like terms: -2 + -34 = -36
-9n = -36

Divide each side by '-9'.
n = 4

Simplifying
n = 4