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6-4=2\left(w-3\right)
Variable w cannot be equal to 3 since division by zero is not defined. Multiply both sides of the equation by w-3.
2=2\left(w-3\right)
Subtract 4 from 6 to get 2.
2=2w-6
Use the distributive property to multiply 2 by w-3.
2w-6=2
Swap sides so that all variable terms are on the left hand side.
2w=2+6
Add 6 to both sides.
2w=8
Add 2 and 6 to get 8.
w=\frac{8}{2}
Divide both sides by 2.
w=4
Divide 8 by 2 to get 4.