Write the statements explaining the following algebraic expressions. Also, write the terms of algebraic expression.
`15-(6t+3)`

Answer

To solve the problem, we need to explain the algebraic expression `15 - (6t + 3)` and identify its terms.

### Step-by-Step Solution:

1. **Understanding the Expression:**
The expression given is `15 - (6t + 3)`. This means we have a number 15 from which we are subtracting the quantity `(6t + 3)`.

2. **Writing the Statement:**
We can express this algebraic expression in words. The statement can be:
"The sum of 6 times a variable t and 3 is subtracted from 15."

3. **Distributing the Negative Sign:**
Next, we need to simplify the expression by distributing the negative sign across the terms inside the parentheses:
- `15 - (6t + 3)` becomes `15 - 6t - 3`.

4. **Combining Like Terms:**
Now, we can combine the constant terms:
- `15 - 3` equals `12`, so the expression simplifies to `12 - 6t`.

5. **Identifying the Terms:**
The simplified expression `12 - 6t` consists of two terms:
- The first term is `12`, which is a constant.
- The second term is `-6t`, which is a variable term (where `t` is the variable).

### Final Answer:
- **Statement:** "The sum of 6 times a variable t and 3 is subtracted from 15."
- **Terms of the Expression:** The terms are `12` (constant) and `-6t` (variable term).