3(2v+1)=-15(2v+16)

Solution for 3(2v+1)=-15(2v+16) equation:

Simplifying
3(2v + 1) = -15(2v + 16)

Reorder the terms:
3(1 + 2v) = -15(2v + 16)
(1 * 3 + 2v * 3) = -15(2v + 16)
(3 + 6v) = -15(2v + 16)

Reorder the terms:
3 + 6v = -15(16 + 2v)
3 + 6v = (16 * -15 + 2v * -15)
3 + 6v = (-240 + -30v)

Solving
3 + 6v = -240 + -30v

Solving for variable 'v'.

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

Add '30v' to each side of the equation.
3 + 6v + 30v = -240 + -30v + 30v

Combine like terms: 6v + 30v = 36v
3 + 36v = -240 + -30v + 30v

Combine like terms: -30v + 30v = 0
3 + 36v = -240 + 0
3 + 36v = -240

Add '-3' to each side of the equation.
3 + -3 + 36v = -240 + -3

Combine like terms: 3 + -3 = 0
0 + 36v = -240 + -3
36v = -240 + -3

Combine like terms: -240 + -3 = -243
36v = -243

Divide each side by '36'.
v = -6.75

Simplifying
v = -6.75