Solve for z
z=0
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7z-3z-\left(-3\right)=3+2z
To find the opposite of 3z-3, find the opposite of each term.
7z-3z+3=3+2z
The opposite of -3 is 3.
4z+3=3+2z
Combine 7z and -3z to get 4z.
4z+3-2z=3
Subtract 2z from both sides.
2z+3=3
Combine 4z and -2z to get 2z.
2z=3-3
Subtract 3 from both sides.
2z=0
Subtract 3 from 3 to get 0.
z=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 2 is not equal to 0, z must be equal to 0.
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