2(n-7)=42-2n

Solution for 2(n-7)=42-2n equation:

Simplifying
2(n + -7) = 42 + -2n

Reorder the terms:
2(-7 + n) = 42 + -2n
(-7 * 2 + n * 2) = 42 + -2n
(-14 + 2n) = 42 + -2n

Solving
-14 + 2n = 42 + -2n

Solving for variable 'n'.

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

Add '2n' to each side of the equation.
-14 + 2n + 2n = 42 + -2n + 2n

Combine like terms: 2n + 2n = 4n
-14 + 4n = 42 + -2n + 2n

Combine like terms: -2n + 2n = 0
-14 + 4n = 42 + 0
-14 + 4n = 42

Add '14' to each side of the equation.
-14 + 14 + 4n = 42 + 14

Combine like terms: -14 + 14 = 0
0 + 4n = 42 + 14
4n = 42 + 14

Combine like terms: 42 + 14 = 56
4n = 56

Divide each side by '4'.
n = 14

Simplifying
n = 14