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solve the equation below. whats the value of v?there are many ways you …

Question

solve the equation below. whats the value of v?there are many ways you could solve this equation. we need to get v alone on one side, and a constant number alone on the other side. since v is inside the parentheses on the left, we can use the distributive property to rewrite the equation without parentheses. go for it. distribute the $\frac{1}{2}$ to $12v - 8$. you can think of this as $(12v - 8)$ is being multiplied by $\frac{1}{2}$.$\frac{1}{2}(12v - 8)=8v + 10$$square=8v + 10$

Explanation:

Step1: Distribute $\frac{1}{2}$ to terms

$\frac{1}{2}(12v) - \frac{1}{2}(8) = 8v + 10$
$6v - 4 = 8v + 10$

Step2: Subtract $6v$ from both sides

$6v - 4 - 6v = 8v + 10 - 6v$
$-4 = 2v + 10$

Step3: Subtract 10 from both sides

$-4 - 10 = 2v + 10 - 10$
$-14 = 2v$

Step4: Divide by 2 to solve for $v$

$v = \frac{-14}{2}$

Answer:

$v = -7$