-6(1+n)+4(3n+4)=58

Solution for -6(1+n)+4(3n+4)=58 equation:

Simplifying
-6(1 + n) + 4(3n + 4) = 58
(1 * -6 + n * -6) + 4(3n + 4) = 58
(-6 + -6n) + 4(3n + 4) = 58

Reorder the terms:
-6 + -6n + 4(4 + 3n) = 58
-6 + -6n + (4 * 4 + 3n * 4) = 58
-6 + -6n + (16 + 12n) = 58

Reorder the terms:
-6 + 16 + -6n + 12n = 58

Combine like terms: -6 + 16 = 10
10 + -6n + 12n = 58

Combine like terms: -6n + 12n = 6n
10 + 6n = 58

Solving
10 + 6n = 58

Solving for variable 'n'.

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

Add '-10' to each side of the equation.
10 + -10 + 6n = 58 + -10

Combine like terms: 10 + -10 = 0
0 + 6n = 58 + -10
6n = 58 + -10

Combine like terms: 58 + -10 = 48
6n = 48

Divide each side by '6'.
n = 8

Simplifying
n = 8