Solve for a,a.

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

a−18=
6

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

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:

\[
\boxed{80}
\]