Question
Solve the equation
Solve for z
z=−6
Evaluate
−z−6−7z=9(−z−2)+6
Subtract the terms
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Evaluate
−z−7z
Collect like terms by calculating the sum or difference of their coefficients
(−1−7)z
Subtract the numbers
−8z
−8z−6=9(−z−2)+6
Move the expression to the left side
−8z−6−(9(−z−2)+6)=0
Subtract the terms
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Evaluate
−8z−6−(9(−z−2)+6)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−8z−6−9(−z−2)−6
Subtract the numbers
−8z−12−9(−z−2)
−8z−12−9(−z−2)=0
Calculate
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Evaluate
−8z−12−9(−z−2)
Expand the expression
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Calculate
−9(−z−2)
Apply the distributive property
−9(−z)−(−9×2)
Multiply the numbers
9z−(−9×2)
Multiply the numbers
9z−(−18)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
9z+18
−8z−12+9z+18
Add the terms
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Evaluate
−8z+9z
Collect like terms by calculating the sum or difference of their coefficients
(−8+9)z
Add the numbers
z
z−12+18
Add the numbers
z+6
z+6=0
Move the constant to the right-hand side and change its sign
z=0−6
Solution
z=−6
Show Solution