Solve for a,a.

Question

start fraction, 3, divided by, 10, end fraction, a, minus, 18, equals, 6
10
3
​
a−18=
6

Answer 1

To solve the equation \( \frac{3}{10} a - 18 = 6 \), follow these steps:

1. Add 18 to both sides to isolate the term with \( a \):

   \[ \frac{3}{10} a - 18 + 18 = 6 + 18 \]

   This simplifies to:

   \[ \frac{3}{10} a = 24 \]

2. Multiply both sides by the reciprocal of \(\frac{3}{10}\), which is \(\frac{10}{3}\):

   \[ a = 24 \times \frac{10}{3} \]

   Simplifying that:

   \[ a = \frac{240}{3} \]

   \[ a = 80 \]

Thus, the solution is:

\[ \boxed{80} \]