Question

solve for v.
2.61(v + 2) + 2 = 9.83
v =

Explanation:

Step1: Subtract 2 from both sides

Subtract 2 from each side of the equation \(2.61(v + 2) + 2 = 9.83\) to isolate the term with the parenthesis.

$$ 2.61(v + 2) + 2 - 2 = 9.83 - 2 $$

Simplifying both sides gives:

$$ 2.61(v + 2) = 7.83 $$

Step2: Divide both sides by 2.61

Divide each side of the equation \(2.61(v + 2) = 7.83\) by 2.61 to solve for the parenthetical expression.

$$ \frac{2.61(v + 2)}{2.61} = \frac{7.83}{2.61} $$

Simplifying both sides gives:

$$ v + 2 = 3 $$

Step3: Subtract 2 from both sides

Subtract 2 from each side of the equation \(v + 2 = 3\) to solve for \(v\).

$$ v + 2 - 2 = 3 - 2 $$

Simplifying both sides gives:

$$ v = 1 $$

Answer:

\(1\)