6(1+8n)=-9(-3n-3)

Solution for 6(1+8n)=-9(-3n-3) equation:

Simplifying
6(1 + 8n) = -9(-3n + -3)
(1 * 6 + 8n * 6) = -9(-3n + -3)
(6 + 48n) = -9(-3n + -3)

Reorder the terms:
6 + 48n = -9(-3 + -3n)
6 + 48n = (-3 * -9 + -3n * -9)
6 + 48n = (27 + 27n)

Solving
6 + 48n = 27 + 27n

Solving for variable 'n'.

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

Add '-27n' to each side of the equation.
6 + 48n + -27n = 27 + 27n + -27n

Combine like terms: 48n + -27n = 21n
6 + 21n = 27 + 27n + -27n

Combine like terms: 27n + -27n = 0
6 + 21n = 27 + 0
6 + 21n = 27

Add '-6' to each side of the equation.
6 + -6 + 21n = 27 + -6

Combine like terms: 6 + -6 = 0
0 + 21n = 27 + -6
21n = 27 + -6

Combine like terms: 27 + -6 = 21
21n = 21

Divide each side by '21'.
n = 1

Simplifying
n = 1