2(2n+2)+3(n-1)=15

Solution for 2(2n+2)+3(n-1)=15 equation:

Simplifying
2(2n + 2) + 3(n + -1) = 15

Reorder the terms:
2(2 + 2n) + 3(n + -1) = 15
(2 * 2 + 2n * 2) + 3(n + -1) = 15
(4 + 4n) + 3(n + -1) = 15

Reorder the terms:
4 + 4n + 3(-1 + n) = 15
4 + 4n + (-1 * 3 + n * 3) = 15
4 + 4n + (-3 + 3n) = 15

Reorder the terms:
4 + -3 + 4n + 3n = 15

Combine like terms: 4 + -3 = 1
1 + 4n + 3n = 15

Combine like terms: 4n + 3n = 7n
1 + 7n = 15

Solving
1 + 7n = 15

Solving for variable 'n'.

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

Add '-1' to each side of the equation.
1 + -1 + 7n = 15 + -1

Combine like terms: 1 + -1 = 0
0 + 7n = 15 + -1
7n = 15 + -1

Combine like terms: 15 + -1 = 14
7n = 14

Divide each side by '7'.
n = 2

Simplifying
n = 2