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Solve for w
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4w+2\times 9w=w
Multiply both sides of the equation by 16, the least common multiple of 4,8,16.
4w+18w=w
Multiply 2 and 9 to get 18.
22w=w
Combine 4w and 18w to get 22w.
22w-w=0
Subtract w from both sides.
21w=0
Combine 22w and -w to get 21w.
w=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 21 is not equal to 0, w must be equal to 0.