4(2n-1)-(n+6)=

Solution for 4(2n-1)-(n+6)= equation:

Simplifying
4(2n + -1) + -1(n + 6) = 0

Reorder the terms:
4(-1 + 2n) + -1(n + 6) = 0
(-1 * 4 + 2n * 4) + -1(n + 6) = 0
(-4 + 8n) + -1(n + 6) = 0

Reorder the terms:
-4 + 8n + -1(6 + n) = 0
-4 + 8n + (6 * -1 + n * -1) = 0
-4 + 8n + (-6 + -1n) = 0

Reorder the terms:
-4 + -6 + 8n + -1n = 0

Combine like terms: -4 + -6 = -10
-10 + 8n + -1n = 0

Combine like terms: 8n + -1n = 7n
-10 + 7n = 0

Solving
-10 + 7n = 0

Solving for variable 'n'.

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

Add '10' to each side of the equation.
-10 + 10 + 7n = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 7n = 0 + 10
7n = 0 + 10

Combine like terms: 0 + 10 = 10
7n = 10

Divide each side by '7'.
n = 1.428571429

Simplifying
n = 1.428571429