6(n-7)-(5-3n)=8n

Solution for 6(n-7)-(5-3n)=8n equation:

Simplifying
6(n + -7) + -1(5 + -3n) = 8n

Reorder the terms:
6(-7 + n) + -1(5 + -3n) = 8n
(-7 * 6 + n * 6) + -1(5 + -3n) = 8n
(-42 + 6n) + -1(5 + -3n) = 8n
-42 + 6n + (5 * -1 + -3n * -1) = 8n
-42 + 6n + (-5 + 3n) = 8n

Reorder the terms:
-42 + -5 + 6n + 3n = 8n

Combine like terms: -42 + -5 = -47
-47 + 6n + 3n = 8n

Combine like terms: 6n + 3n = 9n
-47 + 9n = 8n

Solving
-47 + 9n = 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
-47 + 9n + -8n = 8n + -8n

Combine like terms: 9n + -8n = 1n
-47 + 1n = 8n + -8n

Combine like terms: 8n + -8n = 0
-47 + 1n = 0

Add '47' to each side of the equation.
-47 + 47 + 1n = 0 + 47

Combine like terms: -47 + 47 = 0
0 + 1n = 0 + 47
1n = 0 + 47

Combine like terms: 0 + 47 = 47
1n = 47

Divide each side by '1'.
n = 47

Simplifying
n = 47