solve for f.\n7.82 = -1.6 + 3.14(f + 1)\nf =

Explanation:

Step1: Expand the right - hand side

$$ \begin{align*} 7.82&=-1.6 + 3.14(f + 1)\ 7.82&=-1.6+3.14f+3.14 \end{align*} $$

Step2: Simplify the right - hand side

$$ \begin{align*} 7.82&=3.14f+( - 1.6 + 3.14)\ 7.82&=3.14f + 1.54 \end{align*} $$

Step3: Isolate the term with (f)

Subtract (1.54) from both sides: $$ \begin{align*} 7.82-1.54&=3.14f+1.54 - 1.54\ 6.28&=3.14f \end{align*} $$

Step4: Solve for (f)

Divide both sides by (3.14): $$ \begin{align*} f&=\frac{6.28}{3.14}\ f& = 2 \end{align*} $$

Answer:

(2)