Question
Solve the equation
z=0
Evaluate
−7(7z−1)=7−4z
Expand the expression
More Steps

Evaluate
−7(7z−1)
Apply the distributive property
−7×7z−(−7×1)
Multiply the numbers
−49z−(−7×1)
Any expression multiplied by 1 remains the same
−49z−(−7)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−49z+7
−49z+7=7−4z
Cancel equal terms on both sides of the expression
−49z=−4z
Add or subtract both sides
−49z−(−4z)=0
Subtract the terms
More Steps

Evaluate
−49z−(−4z)
Collect like terms by calculating the sum or difference of their coefficients
(−49−(−4))z
Subtract the terms
More Steps

Evaluate
−49−(−4)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−49+4
Add the numbers
−45
−45z
−45z=0
Change the signs on both sides of the equation
45z=0
Solution
z=0
Show Solution
