solve for w

2\left(2w+7\right)=42

1 answer

To solve for w, we will first use the distributive property to simplify the left side of the equation:

2(2w+7) = 42
4w + 14 = 42

Next, we will isolate the variable w by subtracting 14 from both sides of the equation:

4w + 14 - 14 = 42 - 14
4w = 28

Finally, we will solve for w by dividing both sides of the equation by 4:

4w/4 = 28/4
w = 7

Therefore, the solution to the equation is w = 7.