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What is the value of the expression below when w = 4

3w*2 - 3w + 8

3 answers

To find the value of the expression \( 3w \cdot 2 - 3w + 8 \) when \( w = 4 \), we can substitute \( w \) with \( 4 \):

  1. Substitute \( w \) into the expression: \[ 3(4) \cdot 2 - 3(4) + 8 \]

  2. Calculate \( 3(4) \): \[ 3(4) = 12 \]

  3. Now substitute this back into the expression: \[ 12 \cdot 2 - 12 + 8 \]

  4. Next, calculate \( 12 \cdot 2 \): \[ 12 \cdot 2 = 24 \]

  5. Now substitute this value back into the expression: \[ 24 - 12 + 8 \]

  6. Now do the subtraction and addition from left to right:

    • First, \( 24 - 12 = 12 \)
    • Then, \( 12 + 8 = 20 \)

Thus, the value of the expression when \( w = 4 \) is \( \boxed{20} \).

20 what?

The value of the expression \( 3w \cdot 2 - 3w + 8 \) when \( w = 4 \) is \( 20 \). In this context, it is simply a numerical value without specific units attached, as the original expression did not include any units. If this expression represents a quantity, it typically would depend on the context in which you're using it (for instance, it could represent dollars, units, etc.).

So, to clearly state: the value is \( 20 \), and it's a numerical result from the calculation.