Solve for v -15v-28=3(-5v+4)

$- 15 v - 28 = 3 (- 5 v + 4)$

Step 1

Simplify $3 (- 5 v + 4)$ .

Rewrite.

$- 15 v - 28 = 0 + 0 + 3 (- 5 v + 4)$

Simplify by adding zeros.

$- 15 v - 28 = 3 (- 5 v + 4)$

Apply the distributive property.

$- 15 v - 28 = 3 (- 5 v) + 3 \cdot 4$

Multiply.

Multiply $- 5$ by $3$ .

$- 15 v - 28 = - 15 v + 3 \cdot 4$

Multiply $3$ by $4$ .

$- 15 v - 28 = - 15 v + 12$

Step 2

Move all terms containing $v$ to the left side of the equation.

Add $15 v$ to both sides of the equation.

$- 15 v - 28 + 15 v = 12$

Combine the opposite terms in $- 15 v - 28 + 15 v$ .

Add $- 15 v$ and $15 v$ .

$0 - 28 = 12$

Subtract $28$ from $0$ .

$- 28 = 12$

Step 3

Since $- 28 \neq 12$ , there are no solutions.

No solution