Solve for a
a=32
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27\left(a-32\right)=\left(2a+14\right)\times 0\times 9
Variable a cannot be equal to -7 since division by zero is not defined. Multiply both sides of the equation by 54\left(a+7\right), the least common multiple of 2a+14,27.
27a-864=\left(2a+14\right)\times 0\times 9
Use the distributive property to multiply 27 by a-32.
27a-864=\left(2a+14\right)\times 0
Multiply 0 and 9 to get 0.
27a-864=0
Anything times zero gives zero.
27a=864
Add 864 to both sides. Anything plus zero gives itself.
a=\frac{864}{27}
Divide both sides by 27.
a=32
Divide 864 by 27 to get 32.
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