Solve for k
k = \frac{27}{8} = 3\frac{3}{8} = 3.375
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2\left(8k+3\right)\times \frac{1}{2}-2\left(12+3\right)=0
Variable k cannot be equal to -\frac{3}{8} since division by zero is not defined. Multiply both sides of the equation by 2\left(8k+3\right), the least common multiple of 2,3+8k.
\left(16k+6\right)\times \frac{1}{2}-2\left(12+3\right)=0
Use the distributive property to multiply 2 by 8k+3.
8k+3-2\left(12+3\right)=0
Use the distributive property to multiply 16k+6 by \frac{1}{2}.
8k+3-2\times 15=0
Add 12 and 3 to get 15.
8k+3-30=0
Multiply -2 and 15 to get -30.
8k-27=0
Subtract 30 from 3 to get -27.
8k=27
Add 27 to both sides. Anything plus zero gives itself.
k=\frac{27}{8}
Divide both sides by 8.
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