Question

22=2(w+7)-4w
What is w?

Answer 1

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

Answer 2

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