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

The equation you have is:

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

Let's solve for \(a\) step by step.

### Step 1: Add 18 to both sides of the equation
\[
\frac{3}{10}a - 18 + 18 = 6 + 18
\]
\[
\frac{3}{10}a = 24
\]

### Step 2: Multiply both sides by the reciprocal of \(\frac{3}{10}\), which is \(\frac{10}{3}\)
\[
a = 24 \times \frac{10}{3}
\]
\[
a = \frac{240}{3}
\]
\[
a = 80
\]

So, the value of \(a\) is:

\[
\boxed{80}
\]

Would you like more details or further explanation?

Here are 5 related questions:
1. What if the equation was \(\frac{2}{5}a - 10 = 8\)?
2. How would the solution change if \(\frac{3}{10}a + 18 = 6\)?
3. Can you solve for \(a\) if the fraction was \(\frac{5}{12}a - 9 = 15\)?
4. How do you solve \(\frac{4}{7}a + 3 = 2a\)?
5. What if you had two variables, say \(\frac{3}{10}a - \frac{1}{5}b = 6\)?

**Tip:** When solving equations involving fractions, it's often helpful to eliminate the fraction early by multiplying both sides by the denominator.

Learn how to solve the linear equation (3/10)a - 18 = 6 with a detailed step-by-step solution. This problem covers essential algebraic concepts, including solving equations with fractions and applying properties of equality. Suitable for students in Grades 7-9.

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