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

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

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

Reorder the terms:
-9 = -6 + -3 + -48v + -6v

Combine like terms: -6 + -3 = -9
-9 = -9 + -48v + -6v

Combine like terms: -48v + -6v = -54v
-9 = -9 + -54v

Add '9' to each side of the equation.
-9 + 9 = -9 + 9 + -54v

Combine like terms: -9 + 9 = 0
0 = -9 + 9 + -54v

Combine like terms: -9 + 9 = 0
0 = 0 + -54v
0 = -54v

Solving
0 = -54v

Solving for variable 'v'.

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

Add '54v' to each side of the equation.
0 + 54v = -54v + 54v
Remove the zero:
54v = -54v + 54v

Combine like terms: -54v + 54v = 0
54v = 0

Divide each side by '54'.
v = 0

Simplifying
v = 0