15=7n+2(n+3)

Solution for 15=7n+2(n+3) equation:

Simplifying
15 = 7n + 2(n + 3)

Reorder the terms:
15 = 7n + 2(3 + n)
15 = 7n + (3 * 2 + n * 2)
15 = 7n + (6 + 2n)

Reorder the terms:
15 = 6 + 7n + 2n

Combine like terms: 7n + 2n = 9n
15 = 6 + 9n

Solving
15 = 6 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
15 + -9n = 6 + 9n + -9n

Combine like terms: 9n + -9n = 0
15 + -9n = 6 + 0
15 + -9n = 6

Add '-15' to each side of the equation.
15 + -15 + -9n = 6 + -15

Combine like terms: 15 + -15 = 0
0 + -9n = 6 + -15
-9n = 6 + -15

Combine like terms: 6 + -15 = -9
-9n = -9

Divide each side by '-9'.
n = 1

Simplifying
n = 1