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How Do You Solve a Two-Step Equation by Multiplying by -1 First?
Solve the following equation: -b + 4 = - 3
Summary
- b is a variable
- Multiplying both sides by -1 will make the -b into a b, which is what we're trying to solve for
- Make sure you distribute the -1 through all the terms on the left hand side!
- We can check our answer by plugging 7 into our original equation
- If we get a true statement and both sides of the equation are equal, then we know our answer is correct!

Notes
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- This will make the -b into a b, which is what we want
- Make sure you multiply on both sides to maintain the equality!
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- So -b+4 will become b-4
- And -3 will become 3
- Make sure you distribute the -1 through all the terms on the left hand side!
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- You'll have to use addition to solve this new equation: b-4=3
- By "isolate" we mean that we want to get b by itself, with nothing being added to or subtracted from it, on one side
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- Remember, if we add 4 on one side we have to add it to the other side as well to maintain the equality
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- We can plug 7, the answer we got, into our original equation to check it
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- We know we have a true statement if both sides equal one another