Solve for `a , (a)/(6) + 29 =36`

Options

A. 30
B. 42
C. 90
D. 120

Answer

To solve the equation \(\frac{a}{6} + 29 = 36\), we will follow these steps:

### Step 1: Isolate the term with \(a\)
We start with the equation:
\[ \frac{a}{6} + 29 = 36 \]
To isolate \(\frac{a}{6}\), we need to eliminate the constant term \(29\) from the left side. We do this by subtracting \(29\) from both sides of the equation:
\[ \frac{a}{6} = 36 - 29 \]

### Step 2: Simplify the right side
Now, we simplify the right side:
\[ \frac{a}{6} = 7 \]

### Step 3: Solve for \(a\)
Next, we need to eliminate the fraction. Since \(a\) is divided by \(6\), we can multiply both sides of the equation by \(6\) to solve for \(a\):
\[ a = 7 \times 6 \]

### Step 4: Calculate the value of \(a\)
Now we calculate the right side:
\[ a = 42 \]

### Final Answer
Thus, the value of \(a\) is:
\[ \boxed{42} \]

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