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

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

Simplifying
-6(1 + 4n) = -6n + 6(n + -9)
(1 * -6 + 4n * -6) = -6n + 6(n + -9)
(-6 + -24n) = -6n + 6(n + -9)

Reorder the terms:
-6 + -24n = -6n + 6(-9 + n)
-6 + -24n = -6n + (-9 * 6 + n * 6)
-6 + -24n = -6n + (-54 + 6n)

Reorder the terms:
-6 + -24n = -54 + -6n + 6n

Combine like terms: -6n + 6n = 0
-6 + -24n = -54 + 0
-6 + -24n = -54

Solving
-6 + -24n = -54

Solving for variable 'n'.

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

Add '6' to each side of the equation.
-6 + 6 + -24n = -54 + 6

Combine like terms: -6 + 6 = 0
0 + -24n = -54 + 6
-24n = -54 + 6

Combine like terms: -54 + 6 = -48
-24n = -48

Divide each side by '-24'.
n = 2

Simplifying
n = 2