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How Do You Solve an Equation Using Multiplication?
Solve for p
Summary
- 'Solve for p' means we want to get 'p' by itself on one side
- 'p' is a variable representing a number here
- Since 'p' is being divided by '5', we want to do the opposite operation in order to get 'p' alone
- The opposite operation to dividing by '5' is multiplying by '5'
- Note that both sides must be multiplied by '5'
- 12
• 5 = 60 - Plug in '60' for 'p' in our original equation to make sure it's correct

Notes
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- 'Solve for p' means we want to get 'p' by itself on one side
- 'p' is a variable representing a number here
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- Doing the opposite operation will cancel out the original operation and give us 'p' by itself
- 'p' is a variable representing a number here
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- Doing the opposite operation will cancel out the original operation and give us 'p' by itself
- 'p' is a variable representing a number here
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- We are multiplying by '5' to cancel out the division by '5' on the left side, but this must be done to both sides!
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- We are multiplying by '5' to cancel out the division by '5' on the left side, but this must be done to both sides!
-
- 'p' is a variable representing a number here
- We are multiplying by '5' to cancel out the division by '5' on the left side so we can solve for 'p'
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- Remember, we had to multiply the right side of the equation by '5', as well!
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12
• 5 = 60
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- p = 60
- 'p' is the variable we wanted to solve for
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- Our answer was 'p=60'
- 'p' is the variable we wanted to solve for
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- The original equation was 'p/5 = 12'
- 'p' is the variable we wanted to solve for
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- 60/5 = 12
- Since the right side of the equation was already 12, we get 12 on both sides!
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- '12=12' is a true statement, so we did everything correctly
- 'p' is the variable we wanted to solve for