Multiply $6$ by $\frac{j}{2x}$ to get $\frac{6j}{2x}$.

Step 1: Write $6$ as a fraction by putting $1$ in the denominator.

Step 2: Multiply numerators and denominators.

Step 3: Simplify numerator and denominator.

Subtract $\frac{j}{2c}$ from $10$ to get $\frac{20c-j}{2c}$.

Step 1: Write $10$ as a fraction by putting $1$ in the denominator.

Step 2: To subtract raitonal expressions, both fractions must have the same denominator.
We can create a common denominator by multiplying the first fraction by $2c$.

Subtract $\frac{6j}{2x}$ from $24+128j$ to get $\frac{256jx-6j+48x}{2x}$.

Step 1: Write $24+128j$ as a fraction by putting $1$ in the denominator.

Step 2: To subtract raitonal expressions, both fractions must have the same denominator.
We can create a common denominator by multiplying the first fraction by $2x$.

Add $\frac{256jx-6j+48x}{2x}$ and $\frac{16}{x}$ to get $\frac{256j{x}^2-6jx+48x^2+32x}{2x^2}$.

To add raitonal expressions, both fractions must have the same denominator.
We can create a common denominator by multiplying the first fraction by $x$ and the second by $2x$.

Add $\frac{20c-j}{2c}$ and $32j$ to get $\frac{64cj+20c-j}{2c}$.

Step 1: Write $32j$ as a fraction by putting $1$ in the denominator.

Step 2: To add raitonal expressions, both fractions must have the same denominator.
We can create a common denominator by multiplying the second fraction by $2c$.

Divide $\frac{256j{x}^2-6jx+48x^2+32x}{2x^2}$ by $\frac{64cj+20c-j}{2c}$ to get $\frac{512cj{x}^2-12cjx+96c{x}^2+64cx}{128cj{x}^2+40c{x}^2-2j{x}^2}$.

Step 1: To divide rational expressions, multiply the first fraction by the reciprocal of the second fraction.

Step 2: Multiply numerators and denominators.

Step 3: Simplify numerator and denominator.