6(n-9)-(4-8n)=13n

Solution for 6(n-9)-(4-8n)=13n equation:

Simplifying
6(n + -9) + -1(4 + -8n) = 13n

Reorder the terms:
6(-9 + n) + -1(4 + -8n) = 13n
(-9 * 6 + n * 6) + -1(4 + -8n) = 13n
(-54 + 6n) + -1(4 + -8n) = 13n
-54 + 6n + (4 * -1 + -8n * -1) = 13n
-54 + 6n + (-4 + 8n) = 13n

Reorder the terms:
-54 + -4 + 6n + 8n = 13n

Combine like terms: -54 + -4 = -58
-58 + 6n + 8n = 13n

Combine like terms: 6n + 8n = 14n
-58 + 14n = 13n

Solving
-58 + 14n = 13n

Solving for variable 'n'.

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

Add '-13n' to each side of the equation.
-58 + 14n + -13n = 13n + -13n

Combine like terms: 14n + -13n = 1n
-58 + 1n = 13n + -13n

Combine like terms: 13n + -13n = 0
-58 + 1n = 0

Add '58' to each side of the equation.
-58 + 58 + 1n = 0 + 58

Combine like terms: -58 + 58 = 0
0 + 1n = 0 + 58
1n = 0 + 58

Combine like terms: 0 + 58 = 58
1n = 58

Divide each side by '1'.
n = 58

Simplifying
n = 58