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w+14=3\left(w+2\right)
Variable w cannot be equal to -2 since division by zero is not defined. Multiply both sides of the equation by 4\left(w+2\right), the least common multiple of 4w+8,4.
w+14=3w+6
Use the distributive property to multiply 3 by w+2.
w+14-3w=6
Subtract 3w from both sides.
-2w+14=6
Combine w and -3w to get -2w.
-2w=6-14
Subtract 14 from both sides.
-2w=-8
Subtract 14 from 6 to get -8.
w=\frac{-8}{-2}
Divide both sides by -2.
w=4
Divide -8 by -2 to get 4.