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

Solution for 9(n-4)=-6(n+1) equation:

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

Reorder the terms:
9(-4 + n) = -6(n + 1)
(-4 * 9 + n * 9) = -6(n + 1)
(-36 + 9n) = -6(n + 1)

Reorder the terms:
-36 + 9n = -6(1 + n)
-36 + 9n = (1 * -6 + n * -6)
-36 + 9n = (-6 + -6n)

Solving
-36 + 9n = -6 + -6n

Solving for variable 'n'.

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

Add '6n' to each side of the equation.
-36 + 9n + 6n = -6 + -6n + 6n

Combine like terms: 9n + 6n = 15n
-36 + 15n = -6 + -6n + 6n

Combine like terms: -6n + 6n = 0
-36 + 15n = -6 + 0
-36 + 15n = -6

Add '36' to each side of the equation.
-36 + 36 + 15n = -6 + 36

Combine like terms: -36 + 36 = 0
0 + 15n = -6 + 36
15n = -6 + 36

Combine like terms: -6 + 36 = 30
15n = 30

Divide each side by '15'.
n = 2

Simplifying
n = 2