Answer
$c=28$
Work Step by Step
We start with the given equation: $10=\frac{c}{3}-4+\frac{c}{6}$
We multiply both sides of the equation by $6$ to clear the fractions: $6(10=\frac{c}{3}-4+\frac{c}{6})$
We use the distributive property to multiply 6 by each of the terms: $60=2c-24+c$
We add $24$ to each side: $60+24=2c+c-24+24$
We combine the like terms: $84=3c$
Finally, we divide by $3$: $c=28$
