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Solve for a
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a+b-a-b+8a+9a=100
To find the opposite of a+b, find the opposite of each term.
b-b+8a+9a=100
Combine a and -a to get 0.
8a+9a=100
Combine b and -b to get 0.
17a=100
Combine 8a and 9a to get 17a.
a=\frac{100}{17}
Divide both sides by 17.