6(-1-3n)+7(-2-3n)=-32

Solution for 6(-1-3n)+7(-2-3n)=-32 equation:

Simplifying
6(-1 + -3n) + 7(-2 + -3n) = -32
(-1 * 6 + -3n * 6) + 7(-2 + -3n) = -32
(-6 + -18n) + 7(-2 + -3n) = -32
-6 + -18n + (-2 * 7 + -3n * 7) = -32
-6 + -18n + (-14 + -21n) = -32

Reorder the terms:
-6 + -14 + -18n + -21n = -32

Combine like terms: -6 + -14 = -20
-20 + -18n + -21n = -32

Combine like terms: -18n + -21n = -39n
-20 + -39n = -32

Solving
-20 + -39n = -32

Solving for variable 'n'.

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

Add '20' to each side of the equation.
-20 + 20 + -39n = -32 + 20

Combine like terms: -20 + 20 = 0
0 + -39n = -32 + 20
-39n = -32 + 20

Combine like terms: -32 + 20 = -12
-39n = -12

Divide each side by '-39'.
n = 0.3076923077

Simplifying
n = 0.3076923077