15n+24-4(n-3)+6-2n=105

Solution for 15n+24-4(n-3)+6-2n=105 equation:

Simplifying
15n + 24 + -4(n + -3) + 6 + -2n = 105

Reorder the terms:
15n + 24 + -4(-3 + n) + 6 + -2n = 105
15n + 24 + (-3 * -4 + n * -4) + 6 + -2n = 105
15n + 24 + (12 + -4n) + 6 + -2n = 105

Reorder the terms:
24 + 12 + 6 + 15n + -4n + -2n = 105

Combine like terms: 24 + 12 = 36
36 + 6 + 15n + -4n + -2n = 105

Combine like terms: 36 + 6 = 42
42 + 15n + -4n + -2n = 105

Combine like terms: 15n + -4n = 11n
42 + 11n + -2n = 105

Combine like terms: 11n + -2n = 9n
42 + 9n = 105

Solving
42 + 9n = 105

Solving for variable 'n'.

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

Add '-42' to each side of the equation.
42 + -42 + 9n = 105 + -42

Combine like terms: 42 + -42 = 0
0 + 9n = 105 + -42
9n = 105 + -42

Combine like terms: 105 + -42 = 63
9n = 63

Divide each side by '9'.
n = 7

Simplifying
n = 7