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w+7+2\left(3w+1\right)=-12
Multiply both sides of the equation by 4, the least common multiple of 4,2.
w+7+6w+2=-12
Use the distributive property to multiply 2 by 3w+1.
7w+7+2=-12
Combine w and 6w to get 7w.
7w+9=-12
Add 7 and 2 to get 9.
7w=-12-9
Subtract 9 from both sides.
7w=-21
Subtract 9 from -12 to get -21.
w=\frac{-21}{7}
Divide both sides by 7.
w=-3
Divide -21 by 7 to get -3.