-21=-3(n+6)-3(1-6n)

Solution for -21=-3(n+6)-3(1-6n) equation:

Simplifying
-21 = -3(n + 6) + -3(1 + -6n)

Reorder the terms:
-21 = -3(6 + n) + -3(1 + -6n)
-21 = (6 * -3 + n * -3) + -3(1 + -6n)
-21 = (-18 + -3n) + -3(1 + -6n)
-21 = -18 + -3n + (1 * -3 + -6n * -3)
-21 = -18 + -3n + (-3 + 18n)

Reorder the terms:
-21 = -18 + -3 + -3n + 18n

Combine like terms: -18 + -3 = -21
-21 = -21 + -3n + 18n

Combine like terms: -3n + 18n = 15n
-21 = -21 + 15n

Add '21' to each side of the equation.
-21 + 21 = -21 + 21 + 15n

Combine like terms: -21 + 21 = 0
0 = -21 + 21 + 15n

Combine like terms: -21 + 21 = 0
0 = 0 + 15n
0 = 15n

Solving
0 = 15n

Solving for variable 'n'.

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

Add '-15n' to each side of the equation.
0 + -15n = 15n + -15n
Remove the zero:
-15n = 15n + -15n

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

Divide each side by '-15'.
n = 0

Simplifying
n = 0