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QUESTION IMAGE

resuelve para v. -8 = 7v + 3(v + 4) reduce al máximo la respuesta.

Question

resuelve para v. -8 = 7v + 3(v + 4) reduce al máximo la respuesta.

Explanation:

Step1: Expand the expression

First, expand $3(v + 4)$ using the distributive - property $a(b + c)=ab+ac$. So, $3(v + 4)=3v+12$. The equation becomes $-8 = 7v+3v + 12$.

Step2: Combine like - terms

Combine the $v$ terms on the right - hand side. $7v+3v = 10v$. The equation is now $-8=10v + 12$.

Step3: Isolate the variable term

Subtract 12 from both sides of the equation. $-8-12=10v+12 - 12$. This simplifies to $-20 = 10v$.

Step4: Solve for $v$

Divide both sides of the equation by 10. $\frac{-20}{10}=\frac{10v}{10}$. So, $v=-2$.

Answer:

$v = - 2$