Question

(\frac{3a}{4} + 16 = 2)

Explanation:

Step1: Subtract 16 from both sides

To isolate the term with \(a\), we subtract 16 from both sides of the equation \(\frac{3a}{4}+16 = 2\). This gives us \(\frac{3a}{4}=2 - 16\). Calculating the right - hand side, we have \(\frac{3a}{4}=-14\).

Step2: Multiply both sides by 4

To get rid of the denominator 4, we multiply both sides of the equation \(\frac{3a}{4}=-14\) by 4. So, \(3a=-14\times4\), which simplifies to \(3a = - 56\).

Step3: Divide both sides by 3

To solve for \(a\), we divide both sides of the equation \(3a=-56\) by 3. This gives us \(a =-\frac{56}{3}\).

Answer:

\(a =-\frac{56}{3}\)