2(v-3)=-7v-33

Solution for 2(v-3)=-7v-33 equation:

Simplifying
2(v + -3) = -7v + -33

Reorder the terms:
2(-3 + v) = -7v + -33
(-3 * 2 + v * 2) = -7v + -33
(-6 + 2v) = -7v + -33

Reorder the terms:
-6 + 2v = -33 + -7v

Solving
-6 + 2v = -33 + -7v

Solving for variable 'v'.

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

Add '7v' to each side of the equation.
-6 + 2v + 7v = -33 + -7v + 7v

Combine like terms: 2v + 7v = 9v
-6 + 9v = -33 + -7v + 7v

Combine like terms: -7v + 7v = 0
-6 + 9v = -33 + 0
-6 + 9v = -33

Add '6' to each side of the equation.
-6 + 6 + 9v = -33 + 6

Combine like terms: -6 + 6 = 0
0 + 9v = -33 + 6
9v = -33 + 6

Combine like terms: -33 + 6 = -27
9v = -27

Divide each side by '9'.
v = -3

Simplifying
v = -3