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Solve the equation Check your solution.

-18=3w-1

Short Answer

Expert verified

The solution of our given equation would be w=-5.

Step by step solution

01

Step 1. Given Information.

An equation: -18=3w-1

02

Step 2. Calculation.

To solve our given equation, we use opposite operations as shown below:

−18=3(w−1) â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„Givenequation−183=3(w−1)3Dividingbothsidesby3−6=w−1w−1=−6w−1+1=−6+1 â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„     Adding1onbothsidesw=−5

Let us verify our answer by substituting w=-5in our original equation.

−18=3w−1Givenequation−18=3−5−1Substitutingw=−5−18=3−6−18=−18

Since both sides of equation are equal, therefore, w=-5 is a solution of our given equation.

03

Step 3. Conclusion.

The solution of our given equation would be w=-5.

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