4(1n+8)-3n=42

Solution for 4(1n+8)-3n=42 equation:

Simplifying
4(1n + 8) + -3n = 42

Reorder the terms:
4(8 + 1n) + -3n = 42
(8 * 4 + 1n * 4) + -3n = 42
(32 + 4n) + -3n = 42

Combine like terms: 4n + -3n = 1n
32 + 1n = 42

Solving
32 + 1n = 42

Solving for variable 'n'.

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

Add '-32' to each side of the equation.
32 + -32 + 1n = 42 + -32

Combine like terms: 32 + -32 = 0
0 + 1n = 42 + -32
1n = 42 + -32

Combine like terms: 42 + -32 = 10
1n = 10

Divide each side by '1'.
n = 10

Simplifying
n = 10