7(n-5)-(2-n)=

Solution for 7(n-5)-(2-n)= equation:

Simplifying
7(n + -5) + -1(2 + -1n) = 0

Reorder the terms:
7(-5 + n) + -1(2 + -1n) = 0
(-5 * 7 + n * 7) + -1(2 + -1n) = 0
(-35 + 7n) + -1(2 + -1n) = 0
-35 + 7n + (2 * -1 + -1n * -1) = 0
-35 + 7n + (-2 + 1n) = 0

Reorder the terms:
-35 + -2 + 7n + 1n = 0

Combine like terms: -35 + -2 = -37
-37 + 7n + 1n = 0

Combine like terms: 7n + 1n = 8n
-37 + 8n = 0

Solving
-37 + 8n = 0

Solving for variable 'n'.

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

Add '37' to each side of the equation.
-37 + 37 + 8n = 0 + 37

Combine like terms: -37 + 37 = 0
0 + 8n = 0 + 37
8n = 0 + 37

Combine like terms: 0 + 37 = 37
8n = 37

Divide each side by '8'.
n = 4.625

Simplifying
n = 4.625