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z\times 7=\left(2z-1\right)\times 3
Variable z cannot be equal to any of the values 0,\frac{1}{2} since division by zero is not defined. Multiply both sides of the equation by z\left(2z-1\right), the least common multiple of 2z-1,z.
z\times 7=6z-3
Use the distributive property to multiply 2z-1 by 3.
z\times 7-6z=-3
Subtract 6z from both sides.
z=-3
Combine z\times 7 and -6z to get z.