Question

solve for $v$.
$28 = \frac{2}{5}v + 11 + \frac{4}{5}v - 7$
$v = 22$
$v = 18$
$v = 20$
$v = 24$

Explanation:

Step1: Combine like variable terms

$\frac{2}{5}v + \frac{4}{5}v = \frac{6}{5}v$

Step2: Combine constant terms

$11 - 7 = 4$

Step3: Rewrite the simplified equation

$28 = \frac{6}{5}v + 4$

Step4: Isolate the variable term

$28 - 4 = \frac{6}{5}v \implies 24 = \frac{6}{5}v$

Step5: Solve for $v$

$v = 24 \times \frac{5}{6} = 20$

Answer:

v = 20