2(1+3v)+3(v-2)=-49

Solution for 2(1+3v)+3(v-2)=-49 equation:

Simplifying
2(1 + 3v) + 3(v + -2) = -49
(1 * 2 + 3v * 2) + 3(v + -2) = -49
(2 + 6v) + 3(v + -2) = -49

Reorder the terms:
2 + 6v + 3(-2 + v) = -49
2 + 6v + (-2 * 3 + v * 3) = -49
2 + 6v + (-6 + 3v) = -49

Reorder the terms:
2 + -6 + 6v + 3v = -49

Combine like terms: 2 + -6 = -4
-4 + 6v + 3v = -49

Combine like terms: 6v + 3v = 9v
-4 + 9v = -49

Solving
-4 + 9v = -49

Solving for variable 'v'.

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

Add '4' to each side of the equation.
-4 + 4 + 9v = -49 + 4

Combine like terms: -4 + 4 = 0
0 + 9v = -49 + 4
9v = -49 + 4

Combine like terms: -49 + 4 = -45
9v = -45

Divide each side by '9'.
v = -5

Simplifying
v = -5