12*n+1*(2n+2)=100

Solution for 12*n+1*(2n+2)=100 equation:

Simplifying
12n + 1(2n + 2) = 100

Reorder the terms:
12n + 1(2 + 2n) = 100
12n + (2 * 1 + 2n * 1) = 100
12n + (2 + 2n) = 100

Reorder the terms:
2 + 12n + 2n = 100

Combine like terms: 12n + 2n = 14n
2 + 14n = 100

Solving
2 + 14n = 100

Solving for variable 'n'.

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

Add '-2' to each side of the equation.
2 + -2 + 14n = 100 + -2

Combine like terms: 2 + -2 = 0
0 + 14n = 100 + -2
14n = 100 + -2

Combine like terms: 100 + -2 = 98
14n = 98

Divide each side by '14'.
n = 7

Simplifying
n = 7