7n-4(2n+6)=-3(n+8)

Solution for 7n-4(2n+6)=-3(n+8) equation:

Simplifying
7n + -4(2n + 6) = -3(n + 8)

Reorder the terms:
7n + -4(6 + 2n) = -3(n + 8)
7n + (6 * -4 + 2n * -4) = -3(n + 8)
7n + (-24 + -8n) = -3(n + 8)

Reorder the terms:
-24 + 7n + -8n = -3(n + 8)

Combine like terms: 7n + -8n = -1n
-24 + -1n = -3(n + 8)

Reorder the terms:
-24 + -1n = -3(8 + n)
-24 + -1n = (8 * -3 + n * -3)
-24 + -1n = (-24 + -3n)

Add '24' to each side of the equation.
-24 + 24 + -1n = -24 + 24 + -3n

Combine like terms: -24 + 24 = 0
0 + -1n = -24 + 24 + -3n
-1n = -24 + 24 + -3n

Combine like terms: -24 + 24 = 0
-1n = 0 + -3n
-1n = -3n

Solving
-1n = -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
-1n + 3n = -3n + 3n

Combine like terms: -1n + 3n = 2n
2n = -3n + 3n

Combine like terms: -3n + 3n = 0
2n = 0

Divide each side by '2'.
n = 0

Simplifying
n = 0