Question

solve for f.
86.4 = 2.9(f + 19) + 11
f =

Explanation:

Step1: Simplify the right-hand side

First expand and combine constants:
$2.9(f + 19) + 11 = 2.9f + 2.9\times19 + 11$
Calculate $2.9\times19 = 55.1$, then $55.1 + 11 = 66.1$
Equation becomes: $86.4 = 2.9f + 66.1$

Step2: Isolate the term with $f$

Subtract 66.1 from both sides:
$86.4 - 66.1 = 2.9f$
$20.3 = 2.9f$

Step3: Solve for $f$

Divide both sides by 2.9:
$f = \frac{20.3}{2.9}$

Answer:

$7$