27=-6(8n-6)-3(5n+3)

Solution for 27=-6(8n-6)-3(5n+3) equation:

Simplifying
27 = -6(8n + -6) + -3(5n + 3)

Reorder the terms:
27 = -6(-6 + 8n) + -3(5n + 3)
27 = (-6 * -6 + 8n * -6) + -3(5n + 3)
27 = (36 + -48n) + -3(5n + 3)

Reorder the terms:
27 = 36 + -48n + -3(3 + 5n)
27 = 36 + -48n + (3 * -3 + 5n * -3)
27 = 36 + -48n + (-9 + -15n)

Reorder the terms:
27 = 36 + -9 + -48n + -15n

Combine like terms: 36 + -9 = 27
27 = 27 + -48n + -15n

Combine like terms: -48n + -15n = -63n
27 = 27 + -63n

Add '-27' to each side of the equation.
27 + -27 = 27 + -27 + -63n

Combine like terms: 27 + -27 = 0
0 = 27 + -27 + -63n

Combine like terms: 27 + -27 = 0
0 = 0 + -63n
0 = -63n

Solving
0 = -63n

Solving for variable 'n'.

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

Add '63n' to each side of the equation.
0 + 63n = -63n + 63n
Remove the zero:
63n = -63n + 63n

Combine like terms: -63n + 63n = 0
63n = 0

Divide each side by '63'.
n = 0

Simplifying
n = 0