Question
Solve the equation
Solve for p
p=1
Evaluate
−8(−8p+5)+6p=−5(−2p−4)
Calculate
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Evaluate
−8(−8p+5)+6p
Expand the expression
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Calculate
−8(−8p+5)
Apply the distributive property
−8(−8p)−8×5
Multiply the numbers
64p−8×5
Multiply the numbers
64p−40
64p−40+6p
Add the terms
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Evaluate
64p+6p
Collect like terms by calculating the sum or difference of their coefficients
(64+6)p
Add the numbers
70p
70p−40
70p−40=−5(−2p−4)
Calculate
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Evaluate
−5(−2p−4)
Apply the distributive property
−5(−2p)−(−5×4)
Multiply the numbers
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Evaluate
−5(−2)
Multiplying or dividing an even number of negative terms equals a positive
5×2
Multiply the numbers
10
10p−(−5×4)
Multiply the numbers
10p−(−20)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
10p+20
70p−40=10p+20
Move the expression to the left side
70p−40−(10p+20)=0
Calculate
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Add the terms
70p−40−(10p+20)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
70p−40−10p−20
Subtract the terms
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Evaluate
70p−10p
Collect like terms by calculating the sum or difference of their coefficients
(70−10)p
Subtract the numbers
60p
60p−40−20
Subtract the numbers
60p−60
60p−60=0
Move the constant to the right-hand side and change its sign
60p=0+60
Removing 0 doesn't change the value,so remove it from the expression
60p=60
Divide both sides
6060p=6060
Divide the numbers
p=6060
Solution
More Steps
Evaluate
6060
Reduce the numbers
11
Calculate
1
p=1
Show Solution