Solve for w
w=9
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104=5w+3+2\left(3w+1\right)
Multiply both sides of the equation by 8, the least common multiple of 8,4.
104=5w+3+6w+2
Use the distributive property to multiply 2 by 3w+1.
104=11w+3+2
Combine 5w and 6w to get 11w.
104=11w+5
Add 3 and 2 to get 5.
11w+5=104
Swap sides so that all variable terms are on the left hand side.
11w=104-5
Subtract 5 from both sides.
11w=99
Subtract 5 from 104 to get 99.
w=\frac{99}{11}
Divide both sides by 11.
w=9
Divide 99 by 11 to get 9.
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