3(2v+14)=-15v

Solution for 3(2v+14)=-15v equation:

Simplifying
3(2v + 14) = -15v

Reorder the terms:
3(14 + 2v) = -15v
(14 * 3 + 2v * 3) = -15v
(42 + 6v) = -15v

Solving
42 + 6v = -15v

Solving for variable 'v'.

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

Add '15v' to each side of the equation.
42 + 6v + 15v = -15v + 15v

Combine like terms: 6v + 15v = 21v
42 + 21v = -15v + 15v

Combine like terms: -15v + 15v = 0
42 + 21v = 0

Add '-42' to each side of the equation.
42 + -42 + 21v = 0 + -42

Combine like terms: 42 + -42 = 0
0 + 21v = 0 + -42
21v = 0 + -42

Combine like terms: 0 + -42 = -42
21v = -42

Divide each side by '21'.
v = -2

Simplifying
v = -2