22=2 (w+7) - 4w

What is w?

w = - 4

22=2 (w+7) - 4w

first thing you need to do is distribute the 2 to what is inside the parentheses

22=2w+14-4w

Add like terms

22 = - 2w+14

Then subtract 14 from both sides, which cancels out the 14 on the right making it 0

8 = - 2w

Finally divide both sides by - 2 to get your final answer

-4=w or w=-4

Solve for w by simplifying both sides of the equation, then isolating the variable.

w=-4

Let's solve your equation step-by-step.

22=2 (w+7) - 4w

Step 1: Simplify both sides of the equation.

22=2 (w+7) - 4w

22 = (2) (w) + (2) (7) + -4w (Distribute)

22=2w+14+-4w

22 = (2w+-4w) + (14) (Combine Like Terms)

22=-2w+14

22=-2w+14

Step 2: Flip the equation.

-2w+14=22

Step 3: Subtract 14 from both sides.

-2w+14-14=22-14

-2w=8

Step 4: Divide both sides by - 2.

-2w / -2 = 8 / -2

Answer:

w=-4