2 answers:
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
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
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