6(n-5)-(4-3n)=8n

Solution for 6(n-5)-(4-3n)=8n equation:

Simplifying
6(n + -5) + -1(4 + -3n) = 8n

Reorder the terms:
6(-5 + n) + -1(4 + -3n) = 8n
(-5 * 6 + n * 6) + -1(4 + -3n) = 8n
(-30 + 6n) + -1(4 + -3n) = 8n
-30 + 6n + (4 * -1 + -3n * -1) = 8n
-30 + 6n + (-4 + 3n) = 8n

Reorder the terms:
-30 + -4 + 6n + 3n = 8n

Combine like terms: -30 + -4 = -34
-34 + 6n + 3n = 8n

Combine like terms: 6n + 3n = 9n
-34 + 9n = 8n

Solving
-34 + 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.
-34 + 9n + -8n = 8n + -8n

Combine like terms: 9n + -8n = 1n
-34 + 1n = 8n + -8n

Combine like terms: 8n + -8n = 0
-34 + 1n = 0

Add '34' to each side of the equation.
-34 + 34 + 1n = 0 + 34

Combine like terms: -34 + 34 = 0
0 + 1n = 0 + 34
1n = 0 + 34

Combine like terms: 0 + 34 = 34
1n = 34

Divide each side by '1'.
n = 34

Simplifying
n = 34