4(n+8)=3n+42

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

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

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

Reorder the terms:
32 + 4n = 42 + 3n

Solving
32 + 4n = 42 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
32 + 4n + -3n = 42 + 3n + -3n

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

Combine like terms: 3n + -3n = 0
32 + 1n = 42 + 0
32 + 1n = 42

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