Question

Solve for a,a.
30, equals, 26, minus, start fraction, a, divided by, 6, end fraction
30=
26−
6
a
​

Answer 1

To solve the equation

\[
30 = 26 - \frac{a}{6},
\]

we can follow these steps:

1. **Isolate the term with \( a \)**:
First, we will move \( 26 \) to the left side of the equation by subtracting \( 26 \) from both sides:

\[
30 - 26 = -\frac{a}{6},
\]

which simplifies to

\[
4 = -\frac{a}{6}.
\]

2. **Eliminate the negative sign**:
To get rid of the negative sign, we can multiply both sides by \( -1 \):

\[
-4 = \frac{a}{6}.
\]

3. **Solve for \( a \)**:
Now, we can solve for \( a \) by multiplying both sides by \( 6 \):

\[
a = -4 \times 6,
\]

which gives us

\[
a = -24.
\]

Thus, the solution is

\[
\boxed{-24}.
\]