The equation is given as: a+164=−2 \frac{a + 16}{4} = -2 4a+16=−2 To eliminate the denominator, multiply both sides of the equation by 4: 4⋅a+164=−2⋅4 4 \cdot \frac{a + 16}{4} = -2 \cdot 4 4⋅4a+16=−2⋅4
After multiplying, the equation simplifies to: a+16=−8 a + 16 = -8 a+16=−8
Subtract 16 from both sides to isolate aaa: a+16−16=−8−16 a + 16 - 16 = -8 - 16 a+16−16=−8−16 a=−24 a = -24 a=−24
a=−24\boxed{a = -24}a=−24
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