Questions: Simplify by removing parentheses and, if possible, combining like terms. 14-2(6 w-4) 14-2(6 w-4)= (Simplify your answer.)

Transcript text: Simplify by removing parentheses and, if possible, combining like terms. \[ 14-2(6 w-4) \] $14-2(6 w-4)=$ $\square$ (Simplify your answer.)

Solution

Solution Steps

To simplify the expression $14-2(6w-4)$, we need to distribute the $-2$ across the terms inside the parentheses and then combine like terms. This involves multiplying $-2$ by each term inside the parentheses and then adding the results to the constant term outside the parentheses.

Step 1: Distribute the Negative Sign

We start with the expression: \[ 14 - 2(6w - 4) \] Distributing $-2$ across the terms inside the parentheses gives: \[ 14 - 2 \cdot 6w + 2 \cdot 4 \] This simplifies to: \[ 14 - 12w + 8 \]

Step 2: Combine Like Terms

Next, we combine the constant terms $14$ and $8$: \[ (14 + 8) - 12w = 22 - 12w \]