-3v-6(v+8)=-8(6+5v)

Solution for -3v-6(v+8)=-8(6+5v) equation:

Simplifying
-3v + -6(v + 8) = -8(6 + 5v)

Reorder the terms:
-3v + -6(8 + v) = -8(6 + 5v)
-3v + (8 * -6 + v * -6) = -8(6 + 5v)
-3v + (-48 + -6v) = -8(6 + 5v)

Reorder the terms:
-48 + -3v + -6v = -8(6 + 5v)

Combine like terms: -3v + -6v = -9v
-48 + -9v = -8(6 + 5v)
-48 + -9v = (6 * -8 + 5v * -8)
-48 + -9v = (-48 + -40v)

Add '48' to each side of the equation.
-48 + 48 + -9v = -48 + 48 + -40v

Combine like terms: -48 + 48 = 0
0 + -9v = -48 + 48 + -40v
-9v = -48 + 48 + -40v

Combine like terms: -48 + 48 = 0
-9v = 0 + -40v
-9v = -40v

Solving
-9v = -40v

Solving for variable 'v'.

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

Add '40v' to each side of the equation.
-9v + 40v = -40v + 40v

Combine like terms: -9v + 40v = 31v
31v = -40v + 40v

Combine like terms: -40v + 40v = 0
31v = 0

Divide each side by '31'.
v = 0

Simplifying
v = 0