To solve the expression [tex]\( -18b + 1 \)[/tex], we will follow the steps below:
### Step-by-Step Solution:
1. Identify the Expression:
The expression given is:
[tex]\[
-18b + 1
\][/tex]
This is a linear expression in the variable [tex]\( b \)[/tex].
2. Simplify the Expression (if applicable):
In this case, the expression is already in its simplest form. There are no like terms to combine and no factors to simplify.
3. Interpret the Expression:
This linear expression consists of:
- A coefficient term: [tex]\( -18 \)[/tex] multiplied by the variable [tex]\( b \)[/tex]
- A constant term: [tex]\( 1 \)[/tex]
The expression essentially represents a linear relationship where the variable [tex]\( b \)[/tex] is being scaled by [tex]\( -18 \)[/tex] and then increased by [tex]\( 1 \)[/tex].
4. Rewriting the Expression (if necessary for clarity):
Sometimes, it helps to rewrite the expression for clarity:
[tex]\[
1 - 18b
\][/tex]
This does not change the value of the expression but arranges the terms in a way that might be slightly more intuitive. Note that in algebra, the standard form often has the linear term (in terms of [tex]\( b \)[/tex]) first:
[tex]\[
-18b + 1
\][/tex]
### Conclusion:
Thus, the simplified and interpreted expression is:
[tex]\[
1 - 18b
\][/tex]
This is the achieved result for the given problem where the initial expression was simplified and interpreted correctly.
