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12w+8=3\left(8\times 4+1\right)
Multiply both sides of the equation by 12, the least common multiple of 3,4.
12w+8=3\left(32+1\right)
Multiply 8 and 4 to get 32.
12w+8=3\times 33
Add 32 and 1 to get 33.
12w+8=99
Multiply 3 and 33 to get 99.
12w=99-8
Subtract 8 from both sides.
12w=91
Subtract 8 from 99 to get 91.
w=\frac{91}{12}
Divide both sides by 12.