## Algebra 1

$c=28$
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 $3$: $c=28$