Evaluate the expression for b = -3. 14 + 4b =

Understand the Problem

The question is asking us to evaluate the expression 14 + 4b when b is equal to -3. To solve it, we will substitute -3 for b in the expression and simplify.

Answer

The evaluated expression is $ 2 $.

Steps to Solve

Substitute the value of b Substituting ( b = -3 ) into the expression ( 14 + 4b ) gives us:

$$ 14 + 4(-3) $$

Calculate the multiplication Next, calculate ( 4 \times -3 ):

$$ 4 \times -3 = -12 $$

Add the result to 14 Now, substitute the result back into the expression:

$$ 14 - 12 $$

Perform the addition Finally, calculate ( 14 - 12 ):

$$ 14 - 12 = 2 $$

The final answer is ( 2 ).

More Information

When evaluating expressions, substituting the variable with its corresponding value is fundamental. This straightforward operation illustrates how negative values affect an expression and reinforces the concept of basic arithmetic.

Tips

Failing to distribute the negative sign: Ensure that multiplication with negative numbers is done carefully.
Forgetting to perform each step sequentially: It's important to follow the order of operations correctly.

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