Problem 35
Question
Solve the equation. $$ 21=7(w-2) $$
Step-by-Step Solution
Verified Answer
The solution to the equation is \(w = 5\)
1Step 1: Distribute
The equation provided is \(21 = 7(w-2)\). To initiate formula simplification, we first distribute 7 across \((w-2)\) to get: \(21 = 7w - 14\)
2Step 2: Isolate the variable 'w'
To solve for 'w', we need to get it on one side of the equation by itself. We can accomplish this by adding 14 to both sides of the equation, which equals: \(21+14 = 7w - 14+14 \), simplifying to: \(35 = 7w\)
3Step 3: Solve for 'w'
Now 'w' is almost alone and by dividing both sides of the equation by 7 we can solve for 'w'. The result is \(35/7 = 7w/7\). Thus we find \(w = 5\)
Other exercises in this chapter
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