3(4v-6)-4(1-2v)=-42

Solution for 3(4v-6)-4(1-2v)=-42 equation:

Simplifying
3(4v + -6) + -4(1 + -2v) = -42

Reorder the terms:
3(-6 + 4v) + -4(1 + -2v) = -42
(-6 * 3 + 4v * 3) + -4(1 + -2v) = -42
(-18 + 12v) + -4(1 + -2v) = -42
-18 + 12v + (1 * -4 + -2v * -4) = -42
-18 + 12v + (-4 + 8v) = -42

Reorder the terms:
-18 + -4 + 12v + 8v = -42

Combine like terms: -18 + -4 = -22
-22 + 12v + 8v = -42

Combine like terms: 12v + 8v = 20v
-22 + 20v = -42

Solving
-22 + 20v = -42

Solving for variable 'v'.

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

Add '22' to each side of the equation.
-22 + 22 + 20v = -42 + 22

Combine like terms: -22 + 22 = 0
0 + 20v = -42 + 22
20v = -42 + 22

Combine like terms: -42 + 22 = -20
20v = -20

Divide each side by '20'.
v = -1

Simplifying
v = -1