2(n-1)+42=13n-14n

Solution for 2(n-1)+42=13n-14n equation:

Simplifying
2(n + -1) + 42 = 13n + -14n

Reorder the terms:
2(-1 + n) + 42 = 13n + -14n
(-1 * 2 + n * 2) + 42 = 13n + -14n
(-2 + 2n) + 42 = 13n + -14n

Reorder the terms:
-2 + 42 + 2n = 13n + -14n

Combine like terms: -2 + 42 = 40
40 + 2n = 13n + -14n

Combine like terms: 13n + -14n = -1n
40 + 2n = -1n

Solving
40 + 2n = -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
40 + 2n + n = -1n + n

Combine like terms: 2n + n = 3n
40 + 3n = -1n + n

Combine like terms: -1n + n = 0
40 + 3n = 0

Add '-40' to each side of the equation.
40 + -40 + 3n = 0 + -40

Combine like terms: 40 + -40 = 0
0 + 3n = 0 + -40
3n = 0 + -40

Combine like terms: 0 + -40 = -40
3n = -40

Divide each side by '3'.
n = -13.33333333

Simplifying
n = -13.33333333