Solve for w
w = \frac{9}{7} = 1\frac{2}{7} \approx 1.285714286
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3\left(3w+1\right)=2w+12
Multiply both sides of the equation by 6, the least common multiple of 2,3.
9w+3=2w+12
Use the distributive property to multiply 3 by 3w+1.
9w+3-2w=12
Subtract 2w from both sides.
7w+3=12
Combine 9w and -2w to get 7w.
7w=12-3
Subtract 3 from both sides.
7w=9
Subtract 3 from 12 to get 9.
w=\frac{9}{7}
Divide both sides by 7.
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