7(n-3)-(9-n)=

Solution for 7(n-3)-(9-n)= equation:

Simplifying
7(n + -3) + -1(9 + -1n) = 0

Reorder the terms:
7(-3 + n) + -1(9 + -1n) = 0
(-3 * 7 + n * 7) + -1(9 + -1n) = 0
(-21 + 7n) + -1(9 + -1n) = 0
-21 + 7n + (9 * -1 + -1n * -1) = 0
-21 + 7n + (-9 + 1n) = 0

Reorder the terms:
-21 + -9 + 7n + 1n = 0

Combine like terms: -21 + -9 = -30
-30 + 7n + 1n = 0

Combine like terms: 7n + 1n = 8n
-30 + 8n = 0

Solving
-30 + 8n = 0

Solving for variable 'n'.

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

Add '30' to each side of the equation.
-30 + 30 + 8n = 0 + 30

Combine like terms: -30 + 30 = 0
0 + 8n = 0 + 30
8n = 0 + 30

Combine like terms: 0 + 30 = 30
8n = 30

Divide each side by '8'.
n = 3.75

Simplifying
n = 3.75