Solve for a.
4/5 – 8 = a + 2
a = = __
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To solve for ( a ) in the equation ( frac{4}{5} – 8 = a + 2 ), follow these steps:
1. Isolate ( a ): Start by simplifying the left side of the equation.
[
frac{4}{5} – 8
]
To perform this subtraction, convert 8 into a fraction with a common denominator. Since 8 can be expressed as ( frac{40}{5} ):
[
frac{4}{5} – frac{40}{5} = frac{4 – 40}{5} = frac{-36}{5}
]
2. Set up the equation: Now substitute back into the equation:
[
frac{-36}{5} = a + 2
]
3. Isolate ( a ): To solve for ( a ), subtract 2 from both sides. First, convert 2 into a fraction:
[
2 = frac{10}{5}
]
Thus, we have:
[
a = frac{-36}{5} – frac{10}{5} = frac{-36 – 10}{5} = frac{-46}{5}
]
So, ( a = frac{-46}{5} ).
In decimal form, this would